Question

7. Suppose a math class contains 25 students, 15 females (five of whom speak French) and 10 males (three of whom speak French). Compute the probability that a randomly selected student is male, given that the student speaks French.

Answer 1

Conditional probability formula:

`P(A|B)=(P(A\cap B))/(P(A))`

Given situation:

probability that a randomly selected student is male, given that the student speaks French

M= Student is male

F=Student speaks Frenc

`\begin{gathered} P(M|F)=(P(M\cap F))/(P(M)) \\ \\ P(M|F)=\frac{\#\text{male students speaks french}}{\#male\text{ students}} \\ \\ P(M|F)=(3)/(10)=0.3 \end{gathered}`Then. the probability that a randomly selected student is male, given that the student speaks French is 3/10 or 0.3