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 probability formula

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the event $A$ is a passenger flying to Cleveland.

Step2: Identify values

The number of favorable outcomes (passengers going to Cleveland) is 78, and the total number of outcomes (total passengers at the airport) is 375.

Step3: Calculate probability

$P(\text{Cleveland})=\frac{78}{375}$
We can simplify this fraction by dividing both the numerator and the denominator by 3. $\frac{78\div3}{375\div3}=\frac{26}{125}$

Answer:

$\frac{26}{125}$