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Difficulty: MediumSingle Event Probability

A supply sergeant is organizing a crate of 150150 signal flares. The crate contains 5050 red flares, 4040 green flares, 3636 yellow flares, and the remaining flares are white. If a recruit randomly selects one flare from the crate without looking, what is the probability that they select a white flare? Express your answer as a decimal.

Answer: 0.16

Answer

0.16
The correct probability is found by first determining the number of white flares (150−126=24150 - 126 = 24), and then dividing that number by the total number of flares to find the probability of a single event (24÷150=0.1624 \div 150 = 0.16).

Step-by-Step Solution

1
Calculate the total number of red, green, and yellow flares.
50+40+36=12650 + 40 + 36 = 126
This is required to find out how many flares are in the known color categories.
2
Calculate the number of white flares.
150−126=24150 - 126 = 24
Subtracting the other flares from the total gives the remaining white flares.
3
Calculate the probability of selecting a white flare.
24150\frac{24}{150}
Probability is the number of favorable outcomes (white flares) divided by the total number of possible outcomes (total flares).
4
Convert the fraction to a decimal.
24150=425=0.16\frac{24}{150} = \frac{4}{25} = 0.16
The question specifically asks for the answer to be expressed as a decimal.

Key Concept

Single Event Probability
Estimated Time:1m 0s
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Topics

Single Event Probability

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