Two cards are chosen at random from a deck of 52. The chances of one being a spade and the other being a heart are:
A. 3/20
B. 29/34
C. 47/100
D. <13/102br />
Answer:D
Two cards are chosen at random from a deck of 52. The chances of one being a spade and the other being a heart are:
A. 3/20 B. 29/34 C. 47/100 D. <13/102br />
Explanation: Assume that S is the sample space.As a result, n(S) = 52C2 = (52 x 51)/(2 x 1) = 1326.Let E stand for the event of receiving one spade and one heart.P(E) = n(E)/n(S) = 169/1326 = 13/102. n(E) = number of ways to choose 1 spade out of 13 and 1 heart out of 13 = (13C1 x 13C1) = (13 x 13) = 169.