Question

Car 40
SUV 57
Van 28
Truck 75
Probability customer picks truck

Answer 1

To calculate the probability that a customer picks a truck, you first need to find the total number of vehicles and then determine the fraction of those that are trucks.

Here are the counts for each vehicle type:
- Car: 40
- SUV: 57
- Van: 28
- Truck: 75

First, calculate the total number of vehicles:

\[
\text{Total vehicles} = \text{Car} + \text{SUV} + \text{Van} + \text{Truck} = 40 + 57 + 28 + 75 = 200
\]

Next, calculate the probability of picking a truck:

\[
\text{Probability of picking a truck} = \frac{\text{Number of trucks}}{\text{Total number of vehicles}} = \frac{75}{200}
\]

To simplify this fraction:

\[
\frac{75}{200} = \frac{75 \div 25}{200 \div 25} = \frac{3}{8}
\]

So, the probability that a customer picks a truck is:

\[
\frac{3}{8} \text{ or } 0.375
\]

Therefore, the probability is 0.375 or 37.5%.