Suppose you deal two cards from a standard deck of 52 cards.If you do not replace any cards between the deals, what is the probability you deal a king and then an even number (2, 4, 6, 8 or 10)?
A) 0.308
B) 0.384
C) 0.015
D) 0.030

Question

Quizplus · Accepted Answer

The probability of drawing a king first is 4/52 (since there are 4 kings in a deck of 52 cards). After drawing a king, there are 51 cards left. The number of even-numbered cards (2, 4, 6, 8, 10) in each suit is 5, and since there are 4 suits, there are 20 even-numbered cards in total. Thus, the probability of then drawing an even-numbered card is 20/51. The combined probability is (4/52) * (20/51) = 80/2652 = 0.030.

Suppose You Deal Two Cards from a Standard Deck of 52