Total members available for committee formation = 2(Men) + 2(Women) = 4
The committee consists of 2 members. Number of points in the sample space S = n(S) =
...(i)
(a) Event A: There is no man in the committee. Committee consists of 0 men (out of 2 men) and 2 women (out of 2 women)
n(A) =
Hence, P(the committee consists of no man) = P(A) =
(b) Event B: The committee consists of 1 man Committee consists of 1 man (out of 2) and 1 woman (out of 2)
n(B) =
Hence, P (the committee consists of 1 man and 1 woman) = P(B)
(c) Event C: The committee consists of 2 men Committee consists of 2 men (out of 2) and 0 woman (out of 2)
n(C) =
Hence, P (the committee consists of 2 men and no woman)
Find the probability that a hand of 7 cards drawn from a well shuffled deck of 52 cards contain all the four kings.