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}}`

`((13!)/(6!7!) )/((52!)/(45!7!) )`

`(1716)/(133784560)`

`0.000013`

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