Manuel R. answered • 04/08/15

Manny.math.147!

Hello,

This problem is about conditional probability:

To find, we have a formula Pr(B | A)= Pr(AB)

Pr(A)

We know that Pr(A)=0.25, but what is Pr(AB)?

Since the events A and B are said to be independent we have that Pr(AB)=Pr(A)Pr(B).

Therefore, Pr(AB)=Pr(A)Pr(B)= 0.25*0.3=0.075

Now we return to Pr(B | A)= Pr(AB) = 0.075 = 0.3

Pr(A) 0.25

Now for Pr(A | B) is very similar to this one. Can you figure it out? If you have any questions or would like more help please contact me.

Regards,

Manuel Rivera