Question

6. Suppose a math class contains 43 students, 19 females (three of whom speak French) and 24 males (four of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is female.

Answer 1

Okay, here we have this:

We need to compute the probability that a randomly selected student speaks French, given that the student is female.

So, we obtain the following:

`\begin{gathered} P(French|Female)=(P(FrenchandFemale))/(P(Female)) \\ =((3)/(43))/((19)/(43)) \\ =(3)/(19)\text{ or 0.1579} \end{gathered}`