Question

"assume that you randomly select 7 cards from a deck of 52. What is the probability that all of the cards selected are clubs?"

Answer 1

Assume that you randomly select 7 cards from a deck of 52. What is the probability that all of the cards selected are clubs?

Answer: We know that there are 13 club cards in a deck of 52 cards.

We have to find the probability that all of the 7 cards  selected are clubs.

The probability that all the selected cards are club is:

$\frac{\binom{13}{7}}{\binom{52}{7}}$

$\frac{\frac{13!}{6!7!} }{\frac{52!}{45!7!} }$

$\frac{1716}{133784560}$

$0.000013$

Therefore, the probability that all of the cards selected are clubs is 0.000013.