Question

a student is randomly selected from this table. what is the probability that they are a freshman, given that they are a girl? students on a team boy 7 9 7 5 girl 5 5 4 2 p(freshman | girl) = p(b | a) = \frac{p(a and b)}{p(a)}

Explanation:

Step1: Calculate the total number of girls

Add up the number of girls in each grade: \(5 + 5+4 + 2=16\)

Step2: Calculate the probability

The number of freshman girls is \(5\). Using the formula \(P(\text{Freshman}|\text{Girl})=\frac{\text{Number of freshman girls}}{\text{Total number of girls}}\), we get \(P(\text{Freshman}|\text{Girl})=\frac{5}{16}\)

Answer:

\(\frac{5}{16}\)