Given two events A,B with P(A)=3/4 and P(B)=1/3, what is the smallest possible value of P(A∩B)? The largest? That is, find a and b such that,

a≤P(A∩B)≤b,

holds and any value in the closed interval [a,b] is possible.

2 answers

a = 1/12
b = 1/3
0.34 1/3