Question

question 31 of 39
the local high school is hosting an ice cream social for new students. they record the ice cream choices of the students throughout the event.
what is the probability that a person who chose vanilla ice cream is male?

a. $\frac{3}{7}$
b. $\frac{4}{7}$
c. $\frac{3}{22}$
d. $\frac{6}{23}$

Explanation:

Step1: Recall the formula for conditional probability

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In this case, $A$ is the event of being male and $B$ is the event of choosing vanilla ice - cream. So $P(\text{Male}|\text{Vanilla})=\frac{\text{Number of males who chose vanilla}}{\text{Total number of people who chose vanilla}}$.

Step2: Identify the relevant values from the table

From the table, the number of males who chose vanilla is $6$, and the total number of people who chose vanilla is $14$.

Step3: Calculate the probability

$P(\text{Male}|\text{Vanilla})=\frac{6}{14}=\frac{3}{7}$ (by simplifying the fraction $\frac{6}{14}$ by dividing both the numerator and the denominator by $2$).

Answer:

A. $\frac{3}{7}$