QUESTION IMAGE
Question
value: 3
pats pizza shack offers customers the choices of crust, sauce, and toppings shown below. if a 1 - topping pizza is selected at random, what is the probability that it will be deep dish crust, with traditional sauce and green peppers?
pats pizza shack
| crust | sauce | toppings |
|---|---|---|
| deep dish | mushroom | sausage |
| meat | green peppers | |
| onions |
a. 1/72
b. 1/24
c. 1/48
d. 1/12
Step1: Calculate total pizza combinations
Number of crust options = 2, number of sauce options = 3, number of topping options = 4. Total combinations = $2\times3\times4 = 24$.
Step2: Determine favorable combinations
There is only 1 favorable combination (deep - dish crust, traditional sauce, green peppers).
Step3: Calculate probability
Probability = $\frac{\text{Favorable Combinations}}{\text{Total Combinations}}=\frac{1}{24}$.
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b. 1/24