Two cards are selected at random from a deck of 52 cards. What are the chances that both cards are kings?
A. 1/15
B. 25/57
C. 35/256
D.1/221
Answer:D
Two cards are selected at random from a deck of 52 cards. What are the chances that both cards are kings?
A. 1/15 B. 25/57 C. 35/256 D.1/221
Explanation: Assume that S is the sample space.As a result, n(S) = 52C2 = (52 x 51) /(2 x 1) = 1326.Let E represent the probability of receiving two kings out of four.(4 x 3)/(2 x 1) = 6. n(E) = 4C2 = (4 x 3)/(2 x 1) = 6.P(E) = n(E)/n(S) = 6/1326 = 1/221 .