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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.

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 class=

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Conditional probability formula:

[tex]P(A|B)=\frac{P(A\cap B)}{P(A)}[/tex]

Given situation:

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

M= Student is male

F=Student speaks Frenc

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

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