SOLUTION: A standard deck has 52 playing cards—4 cards each of 13 different denominations (ace, two, three, . . . , ten, jack, queen, and
king). You and a friend decide to play a game in
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Probability-and-statistics
-> SOLUTION: A standard deck has 52 playing cards—4 cards each of 13 different denominations (ace, two, three, . . . , ten, jack, queen, and
king). You and a friend decide to play a game in
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Question 1206284: A standard deck has 52 playing cards—4 cards each of 13 different denominations (ace, two, three, . . . , ten, jack, queen, and
king). You and a friend decide to play a game in which you each start with 5 cards. Suppose you shuffle the deck well and deal
out 5 cards to you and your friend. You are surprised when you look at your hand and see three aces (along with two non-aces).
Before you get bad-mouthed for not asking a question,
I will assume your question is "What is the probability
of getting such a hand?"
The 3 aces can be chose 4C3 ways.
For each of those ways the 2 non-aces can be chosen from
the 48 non-aces in 48C2 ways.
The number of ways any 5 cards could be chosen is 52C5,
so the answer is
. Work that out.
Edwin
