84.5k views
4 votes
If A and B are independent events and P (A) and P(B) are both greater than 1/2 then P(A and B) is Greater than 1.

User Bob Kusik
by
5.1k points

1 Answer

6 votes

Answer:

Explanation:

no

as

P(A∩B)=P(A)×P(B)

and P(A)>1/2

also

P(A)≤1

similarly P(B)>1/2

and

P(B)≤1

P(A)×P(B)≤1

so P(A and B) not greater than 1

User MartianMartian
by
4.9k points