Examkin

Question

Difficulty: EasySingle 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?

Answer: 1/8 / 1 / 8

Answer

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.

Step-by-Step Solution

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.

Key Concept

Single Event Probability
Rate this question

Topics

Single Event Probability

More questions from this topic