Question

You pick 4 cards from a deck without replacing the card each time before picking the next card.What is the probability that all 4 cards are Jacks?Leave your answer as a fraction.

Answer 1

We know that in a deck of cards there is 52 cards, 4 been jacks, so if we want to take to take all four jacks in a row, the probability is:

$p(\text{jack and jack and jack and jack)=}\frac{4}{52}\times\frac{3}{51}\times\frac{2}{50}\times\frac{1}{49}=\frac{24}{6497400}$