Question

Suppose the following items were on a menu:_________.

a. Soup - Miso(M) or Lentil Bean (L)
b. Salad - Fresh Greens (G) or Fruit (F)
c. Entrees - Pasta Primavera (P) or Black Bean Burger (B)
If we are to select one of each (soup, salad, entrée), what is the sample space? (show all of the combinations, like in a tree diagram or using the 3 letters)

Answer 1

{MGP,MGB,MFP,MFB,LGP,LGB,LFP,LFB}

Explanation:

Soup - Miso(M) or Lentil Bean (L): Types of Soup =2

Salad - Fresh Greens (G) or Fruit (F): Types of Salad =2

Entrees - Pasta Primavera (P) or Black Bean Burger (B): Types of Entrees =2

Therefore, the sample space will have a total of 2X2X2=8 combinations.

If we are to select one of each, the sample space will be:

S={MGP,MGB,MFP,MFB,LGP,LGB,LFP,LFB}