Question

consider that three cards are drawn from a deck of 52 cards (one at a time, without replacement). compute the probability that at least 2 of the drawn cards are spades.

Answer 1

Hi,

Explanation:

There are 13 spades in the deck of 52 cards.

p(first card is not a spade)=39/52=3/4

p(second card is not a spade)=38/51

p(0 spade)=19/34

p(1 spade)= 2*1/4*39/51=13/(4*17)=13/68

p(at least 2 spades)=1-(19/34+13/68)=1-51/68=17/68≈0.25