Two standard 52-card decks are shuffled and two cards are picked at random - one card from each deck. The probability that two Hearts are drawn is
A) 5.9%
B) 6.3%
C) 25.0 %
D) 50.0%

Question

Quizplus · Accepted Answer

Each deck has 13 Hearts out of 52 cards. The probability of drawing a Heart from one deck is 13/52. Since the decks are independent, the probability of drawing a Heart from both decks is (13/52) * (13/52) = 1/16 = 6.25%, which is approximately 6.3%.

Two Standard 52-Card Decks Are Shuffled and Two Cards Are