9. What is the probability that a five-card poker hand does not contain the queen of hearts?
Answers
Answered by
3
Answer:
47/52 is the probability
Step-by-step explanation:
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Answered by
2
Given,
Total card to choose = 5
Total cards in a deck = 52
To Find,
The probability that a five-card poker hand does not contain the queen of hearts =?
Solution,
The total ways of choosing 5 cards from a deck of 52 cards = 52C5
The number of queens of hearts in a deck = 1
The number of cards excluding queens of hearts = 52 - 1 = 51
The total ways of choosing 5 cards from 51 cards = 51C5
The probability = 51C5 / 52C5 = 51!/(5!*46!) * (5!*47!)/52!
The probability = 47/52
Hence, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.
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