Question
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At a delf, customers buying a sandwich can choose one type of bread, one type of meat.
and one type of cheese. The options for each sandwich are listed below
  • bread white or wheat
  • mear: turkey or beef
  • cheese: American, Swiss, or cheddar
    Assuming each choice is equally likely, what is the probability a customer will choose a
    sandwich with white bread, turkey, and Swiss cheese?
    A

Ask by Ball Rodriguez. in the United States
Mar 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The probability is .

Solution

Let the sample space be the set of all possible combinations of bread, meat, and cheese.
  • Bread options: (white or wheat)
  • Meat options: (turkey or beef)
  • Cheese options: (American, Swiss, or cheddar)
The total number of outcomes is:
There is exactly desired outcome: a sandwich with white bread, turkey, and Swiss cheese.
Thus, the probability is:

Answered by UpStudy AI and reviewed by a Professional Tutor

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The Deep Dive

When it comes to calculating the total number of sandwich combinations, you simply multiply the number of choices for each category: 2 (breads) × 2 (meats) × 3 (cheeses) = 12 total combinations. This means every choice is unique and equally likely.
Now, to find the probability of choosing a specific combination like white bread, turkey, and Swiss cheese, you take the number of favorable outcomes (which is 1 in this case) divided by the total outcomes (12). Thus, the probability is indeed . Go ahead, enjoy your sandwich with a side of math!

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