Answer:
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)