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:
[tex]\frac{\binom{13}{7}}{\binom{52}{7}}[/tex]
[tex]\frac{\frac{13!}{6!7!} }{\frac{52!}{45!7!} }[/tex]
[tex]\frac{1716}{133784560}[/tex]
[tex]0.000013[/tex]
Therefore, the probability that all of the cards selected are clubs is 0.000013.
