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=(52!)/(4!(52-4)!)=270,725`

Total outcomes=270,725

step 2

Find out the combination 13C4

(total club's cards=13)

`13C4=(13!)/(4!(13-4)!)=715`

therefore

The probability is equal to

P=715/270,725

P=0.0026