Question
In the card game bridge, each of 4 players is dealt a hand of 13 of the 52 cards. What is the probability that each player receives exactly one Ace?
Answers
Each card has equal probability to end uop in the hand of the different players. So, for each ace you have 4 equaly likely choices for the players they will end up at, there are thus 4^4 = 2^8 ways the aces can end up in the hands of the players.
There are 4! ways to distribute the four aces over the 4 persons such that each person gets one ace. The probability of this happening is thus:
4!/2^8 = 3/2^5 = 3/32
There are 4! ways to distribute the four aces over the 4 persons such that each person gets one ace. The probability of this happening is thus:
4!/2^8 = 3/2^5 = 3/32
it is wrong