Suppose A and B are two events with P(A)=0.5 and P(A B)=0.8

i) For what value of P(B) would A and B be mutually exclusive

ii) For what value of P(B) would A and B be independent

Solution

i)

if P(A) = 0.5 and P(A B)=0.8 then

P(B) = P(A B) - P(A) = 0.8 - 0.5 = 0.3

_{(Is this correct ?)}

ii)

_{NO clue on how to solve it}