Question

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.

Answer 1

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)