# Independent Events

#### Yankel

##### New Member
Hello,

Can anyone assist with this tricky problem ?

A and B are two independent events such that:

P(A)+P(B)=t, where t is a number in the close set [0,2].

What is the maximum possible value of P(A and B) (intersection).

How do I even start ?

Thanks !

#### Dason

Since A and B are independent we know that $$P(A \cap B) = P(A)P(B) = xy$$