Question

Determine the sample space of all of the possible outcomes of choosing a card numbered 1,2,3,4 and a blue,green,or yellow marble. How many outcomes involve choosing a blue marble?

Answer 1

Answer: outcomes in sample space = 12, outcomes involve choosing a blue marble =4.

Explanation:

Choices for numbers = 4

Choices for marbles =3

By Fundamental counting principle,

Outcomes in sample space = (Choices for numbers) x (Choices for marbles)

= 4x 3

=12

Hence, outcomes in sample space = 12

Number of outcomes involved for blue marble = (Choices for numbers) x ( choice of marble (1))

= 4 x 1 =4

Hence, outcomes involve choosing a blue marble =4.