Question

Two cards are drawn from a deck of 52 cards. Find the probability of drawing a queen first followed by nine if the first card is not replaced.

a. 2/663

b. 8/169

c. 4/663

d. 1/169​

SOLUTION:

Total cards are 52

Number of King cards = 4

Probability of selecting a King first = 4/52 = 1/13

Cards left = 51

Number of Queen cards = 4

Probability of selecting a Queen = 4/51

Probability of drawing a king first and then a queen = (1/13) X (4/51) = 4/663