Probability and Statistics

59 soru

Soru 41Soru →

A logistics officer is inspecting a shipment of 120120 combat helmets. The shipment contains 4545 large helmets, 3535 medium helmets, 2424 small helmets, and the remaining helmets are extra-large. If the officer randomly selects one helmet for quality control, what is the probability that it is an extra-large helmet? Express your answer as a fraction in simplest form.

Cevabı ve açıklamayı göster

Cevap: 2/15; 2 / 15

Cevap

2/15
The correct answer is derived by first finding the number of extra-large helmets. Subtracting the known sizes from the total yields 120−104=16120 - 104 = 16 extra-large helmets. The probability of selecting an extra-large helmet is the ratio of extra-large helmets to the total inventory, which is 16120\frac{16}{120}. Simplifying this fraction by dividing both the numerator and the denominator by their greatest common divisor (88) yields the final probability of 215\frac{2}{15}.

Adım Adım Çözüm

1
Calculate the total number of known helmets.
45+35+24=10445 + 35 + 24 = 104
To find the number of extra-large helmets, we first need to determine how many helmets belong to the other given size categories.
2
Determine the number of extra-large helmets.
120−104=16120 - 104 = 16
Subtracting the sum of the known sizes from the total number of helmets gives the remaining count, which represents the extra-large helmets.
3
Set up the probability fraction.
16120\frac{16}{120}
The probability of a single event is the number of favorable outcomes (1616 extra-large helmets) divided by the total number of possible outcomes (120120 total helmets).
4
Simplify the fraction.
215\frac{2}{15}
Divide the numerator and denominator by their greatest common divisor, which is 88 (16÷8=216 \div 8 = 2 and 120÷8=15120 \div 8 = 15).

Anahtar Kavram

Single Event Probability
Soru 42Soru →

A supply room contains 25 identical-looking computer mice, of which 10 are wireless and 15 are wired. If an IT technician randomly selects two mice from the room one after the other without replacement, what is the probability that both selected mice are wireless? (Express your answer as a decimal.)

Cevabı ve açıklamayı göster

Cevap: 0.15

Cevap

0.15
The correct answer is found by multiplying the probability of the first event by the conditional probability of the second event. First draw: 1025\frac{10}{25}. Second draw: 924\frac{9}{24}. Multiplying these gives 90600\frac{90}{600}, which simplifies exactly to 0.150.15.

Adım Adım Çözüm

1
Determine the probability of the first event.
The probability of drawing the first wireless mouse is 1025\frac{10}{25}.
There are 10 target items (wireless mice) out of 25 total items.
2
Determine the probability of the second event given the first event occurred.
The probability of drawing a second wireless mouse is 924\frac{9}{24}.
Because the selection is without replacement, one wireless mouse has been removed, leaving 9 wireless mice out of 24 total mice.
3
Calculate the compound probability.
1025×924=0.15\frac{10}{25} \times \frac{9}{24} = 0.15
For dependent events occurring in sequence, multiply the probability of the first event by the conditional probability of the second event.

Anahtar Kavram

Compound Probability (Dependent Events)
Tahmini Süre:1m 0s
Soru 43Soru →

A radar operator tracks the number of aircraft detected in their sector during 55 consecutive hours. The hourly counts are 2424, 1818, 3535, 2121, and 1212. What is the median number of aircraft detected per hour?

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Cevap: 2121

Cevap

The median number of aircraft detected per hour is 2121.
The median is found by arranging the values in ascending order (1212, 1818, 2121, 2424, 3535) and identifying the middle value. The middle number is 2121.

Adım Adım Çözüm

1
Order the hourly aircraft counts from least to greatest.
1212, 1818, 2121, 2424, 3535
The median is the middle value of an ordered dataset.
2
Identify the middle number in the sorted sequence.
The third number is 2121.
Since there are 55 data points (an odd number), the median is exactly in the middle.

Anahtar Kavram

The median is the middle value of a sorted dataset. If a dataset has an odd number of values, the median is the single middle number.
Soru 44Soru →

A recruiting station commander records the number of new applicants processed each day for 55 consecutive days. The daily counts are 33, 33, 55, 88, and 1111. Match each measure of central tendency to its correct calculated value for this data set.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Mode
Median
Mean

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

The correct matches are: Mode pairs with 33, Median pairs with 55, and Mean pairs with 66.
Based on the data set of 3,3,5,8,113, 3, 5, 8, 11, the mode is 33 because it appears most frequently. The median is 55 because it is the central value of the ordered list. The mean is 66 because the sum (3030) divided by the count (55) equals 66.

Adım Adım Çözüm

1
Determine the mode of the data set.
Mode = 33
The mode is the number that appears most frequently. 33 is the only number that appears more than once.
2
Determine the median of the data set.
Median = 55
The data is already arranged in ascending order: 3,3,5,8,113, 3, 5, 8, 11. The middle number (third position out of five) is 55.
3
Calculate the mean of the data set.
Mean = 66
Calculate the sum of the numbers (3+3+5+8+11=303 + 3 + 5 + 8 + 11 = 30) and divide by the number of days (55): 30÷5=630 \div 5 = 6.

Anahtar Kavram

Calculating the primary measures of central tendency (mean, median, and mode) for a data set.
Tahmini Süre:45s
Soru 45Soru →

A game at a school carnival involves drawing two wooden blocks from a bag without looking. The bag initially contains 9 red blocks, 7 yellow blocks, and 5 blue blocks. If a player draws two blocks one after the other without replacing the first block, what is the probability that the first block drawn is blue and the second block drawn is yellow?

Cevabı ve açıklamayı göster

Cevap: 112\frac{1}{12}

Cevap

112\frac{1}{12}
The correct answer is found by multiplying the probability of the first event by the probability of the second event, accounting for the reduced total pool. The probability of drawing a blue block first is 521\frac{5}{21}. Because this block is not replaced, only 20 blocks remain in the bag. The probability of then drawing a yellow block is 720\frac{7}{20}. Multiplying these probabilities gives 521×720=35420\frac{5}{21} \times \frac{7}{20} = \frac{35}{420}, which simplifies to 112\frac{1}{12}.

Adım Adım Çözüm

1
Calculate the total number of blocks initially in the bag.
9 (red)+7 (yellow)+5 (blue)=21 total blocks9 \text{ (red)} + 7 \text{ (yellow)} + 5 \text{ (blue)} = 21 \text{ total blocks}
The denominator for the first probability requires the total count of all possible outcomes.
2
Determine the probability of the first event (drawing a blue block).
521\frac{5}{21}
There are 5 blue blocks out of the 21 total blocks.
3
Determine the probability of the second event (drawing a yellow block) given that a blue block was already removed.
720\frac{7}{20}
Because the first block was not replaced, there are now 21−1=2021 - 1 = 20 total blocks. There are still 7 yellow blocks in the bag.
4
Multiply the probabilities of the two dependent events and simplify.
521×720=35420=112\frac{5}{21} \times \frac{7}{20} = \frac{35}{420} = \frac{1}{12}
To find the compound probability of both events occurring in sequence, you must multiply their individual probabilities.

Anahtar Kavram

Dependent Compound Probability
Soru 46Soru →

A sonar technician records the number of acoustic anomalies detected during 55 consecutive watch shifts. The counts are 7,2,8,27, 2, 8, 2, and 66. What is the median number of anomalies detected per shift?

Cevabı ve açıklamayı göster

Cevap: 6

Cevap

6
To find the median, the values must first be ordered from least to greatest: 2,2,6,7,82, 2, 6, 7, 8. Because there is an odd number of values (55), the median is the single middle number. The third number in this sorted list is 66.

Adım Adım Çözüm

1
Order the given numbers from least to greatest.
2,2,6,7,82, 2, 6, 7, 8
The median must always be found from a sorted list of values.
2
Identify the middle value in the sorted list.
Since there are 55 values, the middle value is the 33 rd number, which is 66.
For an odd number of data points, the median is exactly the single middle number.

Anahtar Kavram

The median is the middle value of a data set when the numbers are arranged in numerical order.
Soru 47Soru →

A navigation briefcase contains 1515 identical-looking USB drives. 99 of the drives contain map data, and 66 contain communication protocols. If a pilot randomly selects two drives from the briefcase one after the other without replacing the first, what is the probability that both selected drives contain map data? Express your answer as a simplified fraction.

Cevabı ve açıklamayı göster

Cevap: 12/35; 12 / 35

Cevap

12/35
The correct answer is derived by multiplying the initial probability of drawing a map drive (915\frac{9}{15}) by the updated probability of drawing a second map drive from the remaining inventory (814\frac{8}{14}). Simplifying the fractions to 35\frac{3}{5} and 47\frac{4}{7} before multiplying gives the final result of 1235\frac{12}{35}.

Adım Adım Çözüm

1
Determine the probability of selecting a map data drive on the first draw.
P(First Map) = 99 map drives / 1515 total drives = 915=35\frac{9}{15} = \frac{3}{5}.
The probability of a single event is the number of favorable outcomes divided by the total number of possible outcomes.
2
Determine the probability of selecting a map data drive on the second draw, given that one map drive has already been removed.
P(Second Map) = 88 map drives remaining / 1414 total drives remaining = 814=47\frac{8}{14} = \frac{4}{7}.
Since the first drive is not replaced, both the number of map drives and the total number of drives decrease by one. This is a dependent event.
3
Calculate the compound probability of both dependent events occurring.
35×47=1235\frac{3}{5} \times \frac{4}{7} = \frac{12}{35}.
To find the probability of two dependent events happening in sequence, you multiply the probability of the first event by the conditional probability of the second event.

Anahtar Kavram

Compound probability of dependent events (without replacement)
Soru 48Soru →

A motor pool dispatcher logs the number of vehicles dispatched each day from Monday to Friday. The daily totals are 1111, 1818, 2323, 1313, and 1515. What is the mean number of vehicles dispatched per day?

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Cevap: 16

Cevap

16
The mean is found by adding together all the numbers in the data set and then dividing by the count of numbers. The sum of 1111, 1818, 2323, 1313, and 1515 is 8080. Because there are 55 values, dividing 8080 by 55 results in a mean of 1616.

Adım Adım Çözüm

1
Calculate the sum of the dataset.
11+18+23+13+15=8011 + 18 + 23 + 13 + 15 = 80
The first step in calculating the mean is finding the total sum of all values.
2
Count the number of values in the dataset.
55 days
The mean formula requires dividing the sum by the number of data points.
3
Divide the sum by the number of values.
80÷5=1680 \div 5 = 16
Dividing the total sum by the count of values yields the mean.

Anahtar Kavram

Calculating the arithmetic mean of a dataset
Soru 49Soru →

A military supply depot has 66 different types of field rations, 44 different types of hydration packs, and 33 different types of medical kits. A soldier must build a standardized supply bundle containing exactly 22 different types of field rations, 11 hydration pack, and 11 medical kit. How many different supply bundles can be created?

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Cevap: 180

Cevap

180
To find the total number of distinct supply bundles, we must calculate the number of ways to make each independent selection and multiply them together. First, calculating the number of ways to choose 22 rations from 66 requires combinations because order does not matter: C(6,2)=15C(6, 2) = 15. There are 44 ways to choose a hydration pack and 33 ways to choose a medical kit. Multiplying these together using the Fundamental Counting Principle yields 15×4×3=18015 \times 4 \times 3 = 180 possible bundles.

Adım Adım Çözüm

1
Determine the number of ways to select the field rations.
C(6,2)=6×52×1=15C(6, 2) = \frac{6 \times 5}{2 \times 1} = 15 ways.
Since the order in which the two rations are selected does not matter, we use the combinations formula.
2
Determine the number of ways to select the hydration pack and the medical kit.
44 ways to select a hydration pack and 33 ways to select a medical kit.
Selecting 11 item from a group of nn items gives nn possible choices.
3
Calculate the total number of possible supply bundles.
15×4×3=18015 \times 4 \times 3 = 180 different supply bundles.
Apply the Fundamental Counting Principle by multiplying the number of independent choices together.

Anahtar Kavram

Combinations and the Fundamental Counting Principle
Soru 50Soru →

A communications center needs to assemble a rapid response team from a pool of 77 qualified technicians. The team must consist of exactly 11 team chief and 33 field technicians. The 33 field technicians share identical duties. How many different rapid response teams can be formed?

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Cevap: 140

Cevap

140
To find the total number of possible teams, we must account for the distinct roles across two stages of selection. First, we select 11 team chief from the 77 available technicians, which gives 77 options. Next, we select 33 field technicians from the remaining 66 technicians. Because the field technicians have identical roles, the order in which they are selected does not matter. This requires calculating a combination: C(6,3)=6!3!(6−3)!=20C(6,3) = \frac{6!}{3!(6-3)!} = 20. Finally, using the Fundamental Counting Principle, we multiply the number of choices for the chief by the number of combinations for the field technicians: 7×20=1407 \times 20 = 140.

Adım Adım Çözüm

1
Select the team chief.
7 possible choices
There are 7 available technicians, and 1 must be chosen for the distinct role of team chief.
2
Select the field technicians.
20 possible combinations
After choosing the chief, 6 technicians remain. We need to select 3 for identical roles. Since order does not matter, this is a combination: C(6,3) = (6 × 5 × 4) / (3 × 2 × 1) = 20.
3
Calculate the total number of unique teams.
140 teams
Using the Fundamental Counting Principle, multiply the independent choices for each stage: 7 × 20 = 140.

Anahtar Kavram

Combining the Fundamental Counting Principle with combinations for multi-stage selection.
Soru 51Soru →

A communications specialist is inventorying a batch of hand-held radios. The batch contains 1818 VHF radios, 1212 UHF radios, and 2020 dual-band radios. If one radio is randomly selected for a quality check, what is the probability that it is a VHF radio? Express your answer as a simplified fraction.

Cevabı ve açıklamayı göster

Cevap: 9/25;9/25;9259/25; 9 / 25; \frac{9}{25}

Cevap

9/25
The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. There are 1818 VHF radios and a total of 5050 radios (18+12+2018 + 12 + 20). The probability is 1850\frac{18}{50}, which simplifies to 925\frac{9}{25} by dividing both the numerator and the denominator by 22.

Adım Adım Çözüm

1
Calculate the total number of radios in the batch.
18+12+20=5018 + 12 + 20 = 50
The denominator of a probability fraction represents the total number of possible outcomes.
2
Identify the number of favorable outcomes.
1818 VHF radios
The numerator of a probability fraction represents the number of favorable outcomes.
3
Set up the probability ratio and simplify.
1850=925\frac{18}{50} = \frac{9}{25}
Probability is the ratio of favorable outcomes to total outcomes, and the question asks for a simplified fraction.

Anahtar Kavram

Single event probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Soru 52Soru →

An intelligence analyst has a container of map pins used for marking locations on a briefing board. The container holds 2424 red pins, 1616 blue pins, and 1010 green pins. If the analyst randomly selects one pin from the container, what is the probability that it is a blue pin?

Cevabı ve açıklamayı göster

Cevap: 825\frac{8}{25}

Cevap

The probability of selecting a blue pin is 825\frac{8}{25}.
The probability of a single event is found by dividing the number of favorable outcomes by the total number of outcomes. There are 1616 blue pins (favorable outcomes) and a total of 5050 pins (24+16+1024 + 16 + 10). This creates the fraction 1650\frac{16}{50}, which simplifies to 825\frac{8}{25} when both numbers are divided by 22.

Adım Adım Çözüm

1
Determine the total number of possible outcomes.
24 (red)+16 (blue)+10 (green)=50 total pins24 \text{ (red)} + 16 \text{ (blue)} + 10 \text{ (green)} = 50 \text{ total pins}
The denominator of a probability fraction must represent all possible items that can be selected.
2
Identify the number of favorable outcomes.
16 blue pins16 \text{ blue pins}
The numerator must represent the specific event being asked for (selecting a blue pin).
3
Set up the probability fraction and simplify.
1650=16÷250÷2=825\frac{16}{50} = \frac{16 \div 2}{50 \div 2} = \frac{8}{25}
Fractions must always be reduced to their simplest form by dividing both the numerator and denominator by their greatest common factor.

Anahtar Kavram

Single Event Probability
Soru 53Soru →

A logistics officer needs to form a specialized transport convoy consisting of exactly 22 cargo trucks and 11 security vehicle. If there are 66 available cargo trucks and 33 available security vehicles, how many different combinations of vehicles can be selected for the convoy?

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Cevap: 45

Cevap

45
The total number of convoy combinations is found by calculating the combinations for each vehicle type and multiplying them together. Choosing 22 cargo trucks from 66 yields 1515 combinations, and choosing 11 security vehicle from 33 yields 33 combinations. Multiplying these results gives 4545 possible convoys.

Adım Adım Çözüm

1
Calculate the number of ways to select the cargo trucks.
6C2=6!2!(6−2)!=15_{6}C_{2} = \frac{6!}{2!(6-2)!} = 15
Since the selection order does not matter, use combinations to choose 22 cargo trucks from the 66 available.
2
Calculate the number of ways to select the security vehicle.
3C1=3_{3}C_{1} = 3
Use combinations to choose 11 security vehicle from the 33 available.
3
Determine the total combinations for the convoy.
15×3=4515 \times 3 = 45
Apply the Fundamental Counting Principle by multiplying the independent category selections together.

Anahtar Kavram

Combinations and the Fundamental Counting Principle
Tahmini Süre:1m 30s
Soru 54Soru →

A motor pool has a fleet of 4040 vehicles available for dispatch. The fleet consists of 2525 HMMWVs, 1010 transport trucks, and 55 tactical ambulances. If a dispatcher selects one vehicle at random for a surprise inspection, what is the probability, expressed as a fraction in simplest form, that the selected vehicle is a tactical ambulance?

Cevabı ve açıklamayı göster

Cevap: 1/8; 1 / 8

Cevap

1/8
The probability of an event is found by dividing the number of favorable outcomes by the total number of possible outcomes. There are 5 tactical ambulances out of a total 40 vehicles. The resulting fraction is 5/40, which simplifies to 1/8 by dividing both the numerator and the denominator by 5.

Adım Adım Çözüm

1
Identify the total number of possible outcomes.
The total number of vehicles in the motor pool is 4040.
The denominator of a single event probability fraction represents the total number of items in the population.
2
Identify the number of favorable outcomes.
There are 55 tactical ambulances.
The numerator represents the count of the specific target items being selected.
3
Set up the probability ratio and simplify the fraction.
The initial ratio is 540\frac{5}{40}. Dividing both the numerator and denominator by 55 yields 18\frac{1}{8}.
Probability is the ratio of favorable outcomes to total outcomes, and the question requires the answer in simplest fraction form.

Anahtar Kavram

Single Event Probability
Soru 55Soru →

A supply room bin contains a mixture of 3030 electronic components. There are 1212 resistors, 1010 capacitors, and 88 inductors. If a technician randomly selects one component from the bin, what is the probability that the selected component is an inductor?

Cevabı ve açıklamayı göster

Cevap: 415\frac{4}{15}

Cevap

The probability of selecting an inductor is 415\frac{4}{15}.
The correct probability is found by dividing the number of inductors (88) by the total number of components (3030). This gives the fraction 830\frac{8}{30}, which simplifies to 415\frac{4}{15} by dividing both the numerator and the denominator by their greatest common factor, 22.

Adım Adım Çözüm

1
Identify the total number of possible outcomes.
Total components = 3030
The denominator for single event probability is always the total number of items available.
2
Identify the number of favorable outcomes.
Number of inductors = 88
The numerator represents the specific event being measured (selecting an inductor).
3
Set up the probability fraction and simplify.
Probability = 830=415\frac{8}{30} = \frac{4}{15}
Probability is favorable outcomes over total outcomes, and the resulting fraction must be reduced to its simplest form.

Anahtar Kavram

Single Event Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Soru 56Soru →

A supply cabinet contains 1010 identical safety helmets, of which 22 are yellow and 88 are white. A construction worker randomly selects a helmet, records its color, returns it to the cabinet, and then randomly selects a second helmet. What is the probability of selecting a yellow helmet both times? Express your answer as a decimal.

Cevabı ve açıklamayı göster

Cevap: 0.04

Cevap

0.04
Since the helmet is replaced after the first draw, the two events are independent. The probability of drawing a yellow helmet is 210\frac{2}{10} (or 0.20.2). To find the probability of drawing a yellow helmet twice in a row, multiply the probabilities of the two independent events: 0.2×0.2=0.040.2 \times 0.2 = 0.04.

Adım Adım Çözüm

1
Find the probability of the first event.
210\frac{2}{10} or 0.20.2
There are 22 yellow helmets out of 1010 total.
2
Find the probability of the second event.
210\frac{2}{10} or 0.20.2
Because the helmet was replaced, the total number and the number of yellow helmets remain the same.
3
Calculate the compound probability.
0.040.04
For independent events, multiply the individual probabilities together: 0.2×0.2=0.040.2 \times 0.2 = 0.04.

Anahtar Kavram

The probability of two independent events occurring is the product of their individual probabilities: P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B).
Soru 57Soru →

A motor pool dispatcher has a set of 66 vehicle keys on a desk. Exactly 22 of the keys belong to trucks, and 44 belong to sedans. If the dispatcher blindly grabs two keys, one after the other without putting the first back, what is the probability that both keys belong to trucks?

Cevabı ve açıklamayı göster

Cevap: 115\frac{1}{15}

Cevap

115\frac{1}{15}
The correct answer accurately calculates the compound probability of dependent events. The chance of grabbing a truck key first is 2/6. Because that key is held and not replaced, there is only 1 truck key left among the 5 remaining keys, making the chance of the second draw 1/5. Multiplying these fractions (2/6 × 1/5) results in 2/30, which simplifies to 1/15.

Adım Adım Çözüm

1
Determine the probability of selecting a truck key on the first draw.
26\frac{2}{6}
There are 22 truck keys out of a total of 66 keys.
2
Determine the probability of selecting a truck key on the second draw, assuming one truck key has already been removed.
15\frac{1}{5}
Since one truck key was taken and not replaced, there is now 11 truck key remaining out of a total of 55 keys.
3
Multiply the probabilities of the two dependent events to find the compound probability.
26×15=230=115\frac{2}{6} \times \frac{1}{5} = \frac{2}{30} = \frac{1}{15}
The probability of two dependent events both occurring is the product of their individual probabilities.

Anahtar Kavram

Compound Probability (Dependent Events)
Soru 58Soru →

Match each counting scenario to the mathematical concept that is used to solve it.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Öğeler

Selecting a 3-person cleaning crew from 8 volunteers
Choosing 1st, 2nd, and 3rd place winners in a spelling bee
Picking 1 sandwich, 1 side item, and 1 drink from a lunch menu

Eşleşmeler

Cevabı ve açıklamayı göster

Cevap

The cleaning crew matches to Combination, the spelling bee winners matches to Permutation, and the lunch menu matches to the Fundamental Counting Principle.
Each scenario perfectly aligns with the core definition of its matching counting principle based on whether order matters, and whether the events are sequential and independent.

Adım Adım Çözüm

1
Analyze the volunteer scenario to determine if order matters.
It matches to a Combination.
Because the members of a cleaning crew have identical roles, selecting Person A then Person B is exactly the same as selecting Person B then Person A.
2
Analyze the spelling bee scenario to determine if order matters.
It matches to a Permutation.
Since 1st, 2nd, and 3rd places are distinct, the arrangement or sequence of the winners matters.
3
Analyze the lunch menu scenario to identify the counting structure.
It matches to the Fundamental Counting Principle.
The scenario involves a sequence of independent events (choosing from different categories), which requires multiplying the number of choices.

Anahtar Kavram

Distinguishing between combinations (order does not matter), permutations (order matters), and the Fundamental Counting Principle (multiplying independent events).
Soru 59Soru →

A military dining facility offers 55 different main courses, 33 different side dishes, and 44 different beverages. If a standard meal consists of exactly one main course, one side dish, and one beverage, how many different meal combinations can be chosen?

Cevabı ve açıklamayı göster

Cevap: 60

Cevap

There are 6060 different meal combinations possible.
The correct answer is 6060. According to the Fundamental Counting Principle, when there are multiple independent choices to be made to form a single outcome, the total number of combinations is found by multiplying the number of options for each choice. Here, we multiply the 55 main courses by the 33 side dishes and the 44 beverages: 5×3×4=605 \times 3 \times 4 = 60 possible meal combinations.

Adım Adım Çözüm

1
Identify the number of available choices for each part of the meal.
Main courses = 55, Side dishes = 33, Beverages = 44.
The Fundamental Counting Principle requires knowing the total number of options for each independent selection stage.
2
Apply the Fundamental Counting Principle by multiplying the choices together.
5×3×45 \times 3 \times 4
When selections are made in sequence and are independent of one another, the total number of combinations is the product of the number of options at each individual step.
3
Calculate the final product.
6060
Multiplying the choices yields the total possible unique meal combinations.

Anahtar Kavram

Fundamental Counting Principle
ÖncekiSayfa 3 / 3
Probability and Statistics Alıştırma Soruları — Armed Services Vocational Aptitude Battery (ASVAB) — Sayfa 3 | Examkin