Solution
We have the following info given:
Female Male
Has an A 4 2
Dos not have an A 16 7
And we want to find the probability that a student is a male given that they have an A?
We can create this notation:
M= student is male
A= student have an A
So we want this: P(M|A) and we can use the following formula using the conditional probability rule:
And we can find the probabilities:
P(M and A) = 2/29
P(A)= 9/29
And replacing we got: