Question

In a hand of playing cards, what is the probability that all five are of the same suit?

Answer 1

How many five-card hands dealt from a standard deck of 52 playing cards are all of the same suit? If a random hand is dealt, what is the probability that it will have this property?

Would the probability be:

(135)∗(41)(525)

Answer 2

0.1965%

Step-by-step explanation:

Because 13/52 are the same suit, we find the probability of 5 cards of the same suit (without replacemennt).

13/52=0.25

12/51=0.235

11/50=0.22

10/49=0.204

9/48=0.188

*multiply sums*

=0.0004957

*multiply by 4 since there are 4 different suits*

=0.001965x100=~0.1965%