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Zorluk: KolaySingle Event Probability

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?

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
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Single Event Probability

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