Question

Five cards are selected from a 52-card deck for a poker hand. a. How many simple...

Five cards are selected from a 52-card deck for a poker hand. a. How many simple events are in the sample space? b. A royal flush is a hand that contains the A, K, Q, J, and 10, all in the same suit. How many ways are there to get a royal flush? c. What is the probability of being dealt a royal flush? Please, please, please explain and not just give the answer or formula.

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Answer #1

Solution:-

a) Total number of combinations of different hands = 2,598,960

Total number of cards = 52

Number of cards to be selected = 5

Total number of combinations of different hands = 52C5 = 2,598,960

b) The number of hands for royal flush = 4

There are total four suits in 52-card deck, hence number of hands for royal flush = 4

c) The probability of being dealt a royal flush = 0.00000153908

The probability of being dealt a royal flush = 4/2,598,960

The probability of being dealt a royal flush = 0.00000153908

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