If P(A) = 6/11 , P(B) = 5/11 and P(A ∪ B) = 7/11, find

(i) P(A∩B) (ii) P(A|B) (iii) P(B|A)

If P (A) = 0.8, P (B) = 0.5 and P (B|A) = 0.4, find

(i) P(A ∩ B) (ii) P(A|B) (iii) P(A ∪ B)

Evaluate P(A ∪ B), if 2P(A) = P(B) = 5/13 and P(A|B) = 2/5.

A coin is tossed three times, where

(i) E : head on third toss, F : heads on first two tosses

(ii) E : at least two heads, F : at most two heads

(iii) E : at most two tails, F : at least one tail

Determine P(E|F)

Two coins are tossed once, where

(i) E : tail appears on one coin, F : one coin shows head

(ii) E : no tail appears, F : no head appears

Determine P(E|F)