Question

If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are clubs.

Answer 1

step 1

Find out the total outcomes

Find out the combination 52C4

$52C4=\frac{52!}{4!(52-4)!}=270,725$

Total outcomes=270,725

step 2

Find out the combination 13C4

(total club's cards=13)

$13C4=\frac{13!}{4!(13-4)!}=715$

therefore

The probability is equal to

P=715/270,725

P=0.0026