Five cards are randomly selected without replacement from a standard deck of 52 playing cards. What is theprobability of getting 5 hearts? Round your answer to four decimal places.
A) 0.0005
B) 0.0012
C) 0.0010
D) 0.0004

Question

Quizplus · Accepted Answer

There are 13 hearts in a standard deck of 52 cards. The probability of drawing a heart on the first draw is 13/52. The probability of drawing a heart on the second draw is 12/51, since there are now only 12 hearts left in the deck and 51 cards total. The probability of drawing a heart on the third draw is 11/50, the probability of drawing a heart on the fourth draw is 10/49, and the probability of drawing a heart on the fifth draw is 9/48. The probability of getting 5 hearts is the product of these probabilities: (13/52) * (12/51) * (11/50) * (10/49) * (9/48) = 0.0005.

Five Cards Are Randomly Selected Without Replacement from a Standard