Five identical poker chips are tossed in a hat and mixed up. Two of the chips have been marked with an X to indicate that if drawn a valuable prize will be awarded. If you and two of your friends each draws a chip (with replacement), what is the probability that at least one of your group of three will win the valuable prize? Round to the nearest thousandth.
A)0.216
B)0.978
C)0.784
D)None of these

Question

Quizplus · Accepted Answer

The probability of not drawing a marked chip in one draw is 3/5. The probability that none of the three people draw a marked chip is (3/5)^3 = 27/125 = 0.216. Therefore, the probability that at least one person draws a marked chip is 1 - 0.216 = 0.784.

Five Identical Poker Chips Are Tossed in a Hat and Mixed