Question

there are several different kinds of vehicles on a used car lot, so the owner makes a list of how many of each vehicle he has.
motor scooters 8
minivans 24
station wagons 17
suvs 1
motorcycles 1
what is the probability that a randomly selected vehicle will be a minivan?
write your answer as a fraction or whole number.
p(minivan) =

Explanation:

Step1: Calculate total number of vehicles

Add the number of each type of vehicle: \(8 + 24+17 + 1+1=\) \(51\)

Step2: Use probability formula

Probability \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). For minivans, the number of favorable outcomes is \(24\), and total number of outcomes is \(51\). So \(P(\text{minivan})=\frac{24}{51}\)

Step3: Simplify the fraction

Divide numerator and denominator by \(3\): \(\frac{24\div3}{51\div3}=\frac{8}{17}\)

Answer:

\(\frac{8}{17}\)