Question

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

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Answer 1

12

Explanation:

Answer 2

a) Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green), (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}

b) 4 outcomes involve choosing blue marble.

Explanation:

a) FOR SAMPLE SPACE:

No. of options for choosing card = 4

No. of options for choosing marble = 3

No. of options for choosing a card and a marble = (3)(4) = 12

Therefore,

Sample Space = {(1,blue), (1, green), (1, yellow), (2,blue), (2, green), (2, yellow), (3,blue), (3, green), (3, yellow), (4,blue), (4, green), (4, yellow)}

b) CHOOSING BLUE MARBLE:

It is evident from the sample space that, there are only 4 outcomes, which involve choosing a blue marble.

Those 4 outcomes are as follows:

(1, blue), (2, blue), (3, blue), (4, blue)