Question

Jamal has five comic books, four novels, and three biographies. He wants to choose one comic book, one novel, and one biography randomly. How many outcomes are in this sample space?

a) 60
b) 70
c) 80
d) 90

Answer 1

The total number of outcomes for Jamal's random selection of one comic book, one novel, and one biography is 60, which is obtained by multiplying the number of options in each category (5x4x3).

Step-by-step explanation:

The subject of the question is a basic probability calculation within Mathematics. Jamal has five comic books, four novels, and three biographies and wants to select one of each randomly. The total number of outcomes for such a random selection is calculated by multiplying the number of options for each category together. This is because each choice is an independent event:

• Number of ways to choose a comic book = 5
• Number of ways to choose a novel = 4
• Number of ways to choose a biography = 3

By multiplying these numbers together, we find the total number of outcomes for this sample space:

5 (comic books) x 4 (novels) x 3 (biographies) = 60 outcomes.

Therefore, the correct answer is a) 60.