Question
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
and one type of cheese. The options for each sandwich are listed below
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!