card distribution

Monday, September 27, 2004

Card distribution

On a Sunday afternoon, 4 persons are playing a game of Bridge and you need not know anything about the game of Bridge, except that a pack of cards without joker is used and each player receives 13 cards, to solve this puzzle. You must also know that 4 players are actually 2 teams, North and South, East and West. Now the question is which is greater, the probability of anyone team receiving all 26 cards red, or the probability of any one team receiving all 26 cards not red?


Answer:

NEITHER, because if one team receives all cards(26) red, naturally the other team might not receive all cards red. Both are the same event. Hence the probability of any one team receiving all cards red is very much the same as the probability of one team receiving all cards not red !!