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

0.02% probability your first three bottles selected are Pepsi's

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the bottles are selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:

Three bottles of Pepsi, from a set of 6. So

Total outcomes:

12+24+24+12+2+6 = 80 bottles.

We choose 3.

What is the probability your first three bottles selected are Pepsi's

0.02% probability your first three bottles selected are Pepsi's

a. is correct