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?

Respuesta :

The question is to show that the probability that each of the four players in a game of bridge receives one ace is=
= (24⋅48!⋅13^4)/52!
        My explanation so far is that there are 4! ways to arrange the 4 aces, 48! ways to arrange the other cards, and since each arrangement is equally likely we divide by 52!. I believe the 13^4 represents the number of arrangements to distribute 4 aces among 13 cards.
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