Question

A Poker hand consisting of five cards is dealt from a deck of fifty two cards. What is the probability that the Poker hand consists of four spades and one heart?

Answer 1

Answer: 108336

Step-by-step explanation:

given data:

cards on deck = 52

Since  2 queens are supposed to be in the  5 card hand. Therefore, 2 queens are choosen since we have a total of  4.

Since  2 Queens have been chosen already choosen. we are left with 3cards out of the hand of 5. This cards are to be choosen from the 48 remaining cards. Similarly same process would be used for other combination of playing cards.

(42∗483)+(43∗482)+(44∗481).

= (6 * 17296) + (4 * 1128 ) + (1 * 48)

= 103776 + 4512 + 48

=108336