Question

375 people were at the airport one friday night, and 78 of them were going to cleveland. what is the probability that a randomly selected passenger was flying to cleveland? write your answer as a fraction or whole number. p(cleveland) =

Explanation:

Step1: Recall the probability formula

The probability formula is \( P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \).

Step2: Identify the values

Here, the number of favorable outcomes (passengers going to Cleveland) is \( 78 \), and the total number of outcomes (total passengers) is \( 375 \).
So, \( P(\text{Cleveland})=\frac{78}{375} \).

Step3: Simplify the fraction

Divide numerator and denominator by \( 3 \): \( \frac{78\div3}{375\div3}=\frac{26}{125} \).

Answer:

\( \frac{26}{125} \)