Asked by Rmz

If P(A)= 1/2, P(B)= 1/6 and P(A and B)= 1/2, what can you say about P(A and B)?

I don't understand?
Answered by Marth
Notice that P(A and B) = P(A). Can you find any insights about P(A), P(B), and P(A and B)?
Answered by Rmz
That P(A)= P(A and B)
Answered by Marth
"P(A)= P(A and B)"

What does that say about P(B)?
Answered by Rmz
That P(B) should not be there???
Answered by Marth
P(B) = 1/6, yet P(A) = P(A and B). Therefore, if B occurs, then A also occurs.
Answered by Marth
Actually disregard that last statement. I'm not sure that is implied.
Answered by Marth
Actually the fact that P(A) = P(A and B) is misleading and ultimately irrelevant. The important part is that P(B) < P(A and B) which is a contradiction.