Question

A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.

A. {11,12,13,14}
B. {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)}
C. {12}
D. {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)}

Answer 1

D)

Explanation:

Blue Cards Followed by green cards. In the first set of numbers you should have 1, Then a 1 for each of the four green cards. then do the same with the 2nd blue Card, And the third.

Answer 2

The correct answer is:

Option: D

D. {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)}

Explanation:

Sample space--

It is the set of all the outcomes of an event.

Let the sample space be denoted by the elements of the type (b,g) where b represent the outcome of the first draw i.e. picking a blue card and g denote the outcome of the second draw i.e. picking a green card.

Now, it is given that:

A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4.

Hence, the sample space is given by:

{(1,1), (1,2) , (1,3) , (1,4) , (2,1), (2,2) , (2,3) , (2,4) , (3,1), (3,2) , (3,3) , (3,4) }