A bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains 6 of one suit, 4 of another, and 3 of another
+118654 A bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains 6 of one suit, 4 of another, and 3 of another
6 hearts, 4 diamonds, 3 clubs and no spades
Number of favourable hands 13C6*13C4*13C3 * 4! becasue it can by 6 clubs or whatever
nCr(13,6)*nCr(13,4)*nCr(13,3) * 4! = 8421716160
Number of possible hands = 52C13
8421716160/nCr(52,13) = 0.0132622619354851
So the probablility will be 0.0132622619354851
