Lisa is making up questions for a small quiz on probability

Lisa is making up questions for a small quiz on probability. She assigns these probabilities P(A) = .3, P(B) is .3 and P(A and B) = .4. What is wrong with these probability assignments.

Solution

P(A) = 0.3
P(B) = 0.3
P(A and B) = 0.4

P(A and B) must ALWAYS be less than both P(A) and P(B)

But here it is greater than both

This is what is wrong