Five identical poker chips are tossed in a hat and mixed up. Two of the chips have been markedwith an X to indicate that if drawn a valuable prize will be awarded. If you and three of yourfriends each draws a chip (with replacement), what is the probability that at least one of your groupof four will win the valuable prize? Round to the nearest thousandth.
A) 0.130
B) 0.870
C) 0.758
D) None of these

Question

Quizplus · Accepted Answer

The probability that a single draw does not win a prize is 3/5. The probability that none of the four draws win a prize is (3/5)^4. Therefore, the probability that at least one draw wins a prize is 1 - (3/5)^4 = 0.870.

Five Identical Poker Chips Are Tossed in a Hat and Mixed