Question

A deck of 52 cards is mixed well, and 5 cards are dealt. It can be shown that (disregarding the order in which the cards are dealt) there are 2,598,960 possible hands, of which only 4 hands are royal flushes. (A royal flush is a hand consisting of 10, J, Q, K, and A, all of the same suit).

What is the probability that a hand will be a royal flush?

Answer 1

The probability of getting a royal flush hand in a deck of 52 cards is 1/649740.

Step-by-step explanation:

In a deck of 52 cards, there are only 4 royal flush hands. To find the probability of getting a royal flush hand, we need to divide the number of royal flush hands by the total number of possible hands.

There are four suits in a deck of cards, so the probability of getting a royal flush hand is 4/2598960, which simplifies to 1/649740.