deliriwmfg
2021-11-13
At a restaurant, each dinner special consists of an appetizer, a salad, and an entrée.
The options for an entrée, salad, and appetizer are listed below. Use the choices to answer parts (a) through (d).
a) Find the sample space's total number of points.
The number of points in the sample space is...?
b) If a customer randomly selects one of the dinner specials, determine the probability the customer selects meatballs for the appetizer.
The probability is...?
c) Find the probability that the customer selects the greens Salad and fettuccine.
The probability is...?
d) Find the probability that the customer selects an entrée other than ravioli.
The probability is...?
Louis Gregory
Beginner2021-11-14Added 14 answers
Step 1
a) In a restaurant each dinner special consists of an appetizer, a salad, and an entrée. The appetizer has 3 choices, salad has 3 choices and entrée has 2 choices. TThere are sample points in the entire sample,
Sample points
Consequently, there are 18 points in the sample space.
Step 2
b) There is only one option for the appetizer, three options for the salad, and two options for the entree if a customer chooses one of the dinner specials at random and orders meatballs.
The probability is, Probability
Thus, the probability the customer selects meatballs for the appetizer is 0.3333.
Step 3
c) If the customer selects the greens in Salad then there is 1 choice for salad and if the customer selects the fettuccine in entrée then there is 1 choice for entrée. There would be 3 choices for appetizer.
The probability is,
Probability
Thus, the probability that the customer selects the greens Salad and fettuccine is 0.1667.
Step 4
d) If the customer selects the an entrée other than ravioli then there would be 1 choice for entrée. There would be 3 choices for appetizer and 3 choices for salads.
The probability is,
Probability
Thus, the probability that the customer selects an entrée other than ravioli is 0.50.
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