Question

for two events, M and N , P(M)=0.4 P(N I M)=0.6, And p(N I M')=0.3 Find P( M' I N) =? anyone?

Answer 1

You should have a formula for P(A|B)

Answer 2

\[P(A|B)=\frac{P( A and B)}{P(B)}\]

Answer 3

so how we going to apply this formula to my question?

Answer 4

You are ask to find P(M'|N)

Answer 5

Look we have:
\[P(M' |N)=\frac{P(M' and N)}{P(N)} \text{ and } P(N|M')=\frac{P(N and M')}{P(M')}\]
We want to find the first, so we have:
\[P(M'|N)=\frac{P(M' and N)}{P(N)}=\frac{P(M')P(N|M')}{P(N)}\]