Three cards are drawn with replacement from a well shuffled pack of cards. Find the probability that the cards drawn are king, queen and jack.

Question

Philoid · Accepted Answer

In a pack of 52 cards, there are 4 king,4 queen and 4 jack

Let A be drawn card is a king

Let B be drawn card is a queen

Let C be drawn card is a jack

P(cards drawn are king, queen, jack )=

=P(A)P(B)P(C)+P(A)P(C)P(B)+P(B)P(A)P(C)+P(B)P(C)P(A)+P(C)P(A)P(B)+P(C)P(B)P(A)

=6*P(A)P(B)P(C)