Question

A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. List the sample space of picking a blue card followed by a green card.

Answer 1

Answer with explanation:

It is given that:

A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3.

Now let B1 represent the blue ball numbered as 1.

and B2 represent the blue ball numbered as 2.

G1 represent the green ball numbered as 1.

G2 represent the green ball numbered as 2.

G3 represent the green ball numbered as 3.

Sample space--

It is the collection of all the outcomes that are obtained while performing a experiment.

The sample space of picking a blue card followed by a green card are:

(B1,G1) (B2,G1)

(B1,G2) (B2,G2)

(B1,G3) (B2,G3)

Answer 2

See explanation

Explanation:

A box contains 2 blue cards numbered 1 through 2. Let them be named B1 and B2. This box also contains 3 green cards numbered 1 through 3. Let them be named G1, G2 and G3.

The sample space of picking a blue card followed by a green card is

B1, G1

B1, G2

B1, G3

B2, G1

B2, G2

B2, G3

So, there are 6 different outcomes in this sample space.