Let's assume you are having a party and have stocked your refrigerator with beverages. You have 12 bottles of Coors beer, 24 bottles of Rainier beer, 24 bottles of Schlitz light beer, 12 bottles of Hamms beer, 2 bottles of Heineken dark beer and 6 bottles of Pepsi soda. You go to the refrigerator to get beverages for your friends. In answering the following question assume you are randomly sampling without replacement. What is the probability the first four bottles you select will be a Coors, a Schlitz, a Rainier, and a Coors in that order?
A) 0.0020
B) 0.0022
C) 0.8875
D) 0.0019

Question

Quizplus · Accepted Answer

The probability of selecting a Coors beer first is 12/80 (total number of beers). The probability of selecting a Schlitz beer second (without replacement) is 24/79 (total number of remaining beers). The probability of selecting a Rainier beer third (without replacement) is 24/78. And the probability of selecting a Coors beer fourth (without replacement) is 11/77. Therefore, the probability of selecting a Coors, a Schlitz, a Rainier, and a Coors in that order is (12/80) × (24/79) × (24/78) × (11/77) = 0.0020, which is Option A.

Let's Assume You Are Having a Party and Have Stocked