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.

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 class=

Respuesta :

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:

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