SOLUTION: 5 cards are chosen from an ordinary deck of cards to form a poker hand. What is the probability
that the hand has
at most
2 face cards?
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Probability-and-statistics
-> SOLUTION: 5 cards are chosen from an ordinary deck of cards to form a poker hand. What is the probability
that the hand has
at most
2 face cards?
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Question 1118964: 5 cards are chosen from an ordinary deck of cards to form a poker hand. What is the probability
that the hand has
at most
2 face cards? Answer by greenestamps(13200) (Show Source):
# of ways to get 0 face cards: choose 0 of the 12 face cards and 5 of the 40 other cards.
# of ways to get 1 face card: choose 1 of the 12 face cards and 4 of the 40 other cards.
# of ways to get 2 face cards: choose 2 of the 12 face cards and 3 of the 40 other cards.
The probability of getting at most 2 face cards is the total number of ways of getting at most 2 face cards, divided by the total number of ways of choosing 5 cards from the full deck of 52:
