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

To find the total number of vehicles, we sum up the number of each type of vehicle. So we add \(8 + 24+17 + 1+1\).
\[8+24 + 17+1+1=51\]

Step2: Calculate probability of minivan

The probability of an event is the number of favorable outcomes (number of minivans) divided by the total number of possible outcomes (total number of vehicles). The number of minivans is \(24\) and total number of vehicles is \(51\). So the probability \(P(\text{minivan})=\frac{24}{51}\), which can be simplified by dividing numerator and denominator by \(3\) to get \(\frac{8}{17}\).

Answer:

$\frac{24}{51}$ (or simplified as $\frac{8}{17}$)