Question

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

Answer 1

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

---------------------------------------------

Step-by-step 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