At a​ restaurant, each dinner special consists of an​ appetizer, a​ sa

deliriwmfg

deliriwmfg

Answered question

2021-11-13

At a​ restaurant, each dinner special consists of an​ appetizer, a​ salad, and an entr​ée. 
The options for an entrée, salad, and appetizer are listed below. Use the choices to answer parts ​(a) through (d). 
AppetizerSaladEntreeMeatballsHouseRavioliAntipastoGreensFettuccineSoupGreek 
​ 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 entr​ée other than ravioli. 
The probability is...?

Answer & Explanation

Louis Gregory

Louis Gregory

Beginner2021-11-14Added 14 answers

Step 1 
a) In a​ restaurant each dinner special consists of an​ appetizer, a​ salad, and an entr​ée. The appetizer has 3 choices, salad has 3 choices and entr​ée has 2 choices. TThere are sample points in the entire sample, 
Sample points =3×3×2 
=18 
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 =1×3×218 
=618 
=0.3333 
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 entr​ée. There would be 3 choices for appetizer. 
The probability is, 
Probability =3×1×118 
=318 
=0.1667 
Thus, the probability that the customer selects the greens Salad and fettuccine is 0.1667. 
Step 4 
d) If the customer selects the an entr​ée other than ravioli then there would be 1 choice for entr​ée. There would be 3 choices for appetizer and 3 choices for salads. 
The probability is, 
Probability =3×3×118 
=918 
=0.50 
Thus, the probability that the customer selects an entr​ée other than ravioli is 0.50.

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