Question

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?

Answer 1

Notice that P(A and B) = P(A). Can you find any insights about P(A), P(B), and P(A and B)?

Answer 2

That P(A)= P(A and B)

Answer 3

"P(A)= P(A and B)"

What does that say about P(B)?

Answer 4

That P(B) should not be there???

Answer 5

P(B) = 1/6, yet P(A) = P(A and B). Therefore, if B occurs, then A also occurs.

Answer 6

Actually disregard that last statement. I'm not sure that is implied.

Answer 7

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.