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 your first three bottles selected are Pepsi's?
A) 0.00044
B) 0.00024
C) 0.1875
D) 0.2250

Question

Quizplus · Accepted Answer

There are 78 total bottles in the refrigerator. The probability of selecting a Pepsi on the first draw is 6/78. After one Pepsi is selected, there are only 5 left in the refrigerator along with 77 total bottles. Therefore, the probability of selecting a Pepsi on the second draw is 5/77. Following the same logic, the probability of selecting a Pepsi on the third draw is 4/76. So, the probability of selecting three Pepsi's in a row is (6/78) x (5/77) x (4/76) = 0.00024.

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