Question

Watch help videoIn a class of students, the following data table summarizes the gender of the studentsand whether they have an A in the class. What is the probability that a student is amale given that they have an A?Female MaleHas an A42Does not have an A167Answer:Submit Answerattempt 1 out of 5/problem 1 out of max 1MacBook Pro

Answer 1

Consider the following events,

M = selected student is a male

F = selected student is a female

A = selected student has an A

The probability that the student is a male, given that he/she has an A, is given by,

`P((M)/(A))=(P(M\cap A))/(P(A))`

This can be evaluated as,

`\begin{gathered} P((M)/(A))=(P(M\cap A))/(P(A)) \\ P((M)/(A))=(n(M\cap A))/(n(A)) \\ P((M)/(A))=(2)/(4+2) \\ P((M)/(A))=(2)/(6) \\ P((M)/(A))=(1)/(3) \end{gathered}`

Thus, the probability that the student is a male, is 1/3 , given that he/she has an A.