Question

A survey was given to middle school students in eighth grade. The administration wanted to know if they prefer cake or ice cream for their end of the year celebration. The results are in the two-way table. What is the approximate probability that a person selected will prefer ice cream given they are a female?

Answer 1

30%

Explanations:

The formula for calculating probability is expressed as:

`Probability=\frac{Expected\text{ outcome}}{Total\text{ outcome}}`

From the given table

Total students = total outcome = 325

Total female student that prefer ice cream = expected outcome = 97

Determine the required probability

Pr(person selected will prefer ice cream given they are a female) = 97/325

Pr(person selected will prefer ice cream given they are a female) = 0.2984 ≈ 30%

Hence the probability that a person selected will prefer ice cream given they are a female is approximately 30%