Chapter 10.8, Problem 14IP

To determine

The probability that will be turkey and Swiss on wheat bread.

Answer to Problem 14IP

The probability that will be turkey and Swiss on wheat bread is $\frac{1}{36}$ .

Explanation of Solution

Given information:

The one meat, one bread, one cheese sandwich is chosen at random.

Formula Used:

  $\text{P=}\frac{\text{No}\text{.}\text{of}\text{favorable}\text{outcomes}}{\text{No}\text{.}\text{of}\text{possible}\text{outcomes}}$

Calculation:

Use the Fundamental Counting Principle to find the number of possible outcomes. There are 3 choices for bread, 4 choices for meat, and 3 choices for cheese.

  $3\times 4\times 3=36$

So, the number of possible sandwiches is 36.

There is one way to make a sandwich that is turkey and Swiss on wheat bread. So, the probability is $\frac{1}{36}$ .

Conclusion:

The probability that will be turkey and Swiss on wheat bread is $\frac{1}{36}$