An experiment consists of dealing 5 cards from a standard 52-card deck. what is the probability of being dealt aa 10, jack, queen, king, ace, all in the same suit
This poker hand is known as a royal flush. A royal flush is a sequential list of cards where Ace is the highest and all cards are of the same rank.
The probability of getting a royal flush is 1/649740 = 0.00000153907717
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Explanation:
There are 4 ways to get a royal flush. Those ways are * You have a royal flush with nothing but hearts * You have a royal flush with nothing but diamonds * You have a royal flush with nothing but spades * You have a royal flush with nothing but clubs
This is out of 52 C 5 = (52!)/(5!*(52-5)!) = 2,598,960 different five cards hands
So we have 4/2598960 = 1/649740 = 0.00000153907717
