Question

to win price in a game you need to first choose one of the 4 doors 1, 2, 3, 4 and then need to first choose three box A,B,C and then need choose between two colours red and green how many possible outcomes this games including select boxA and red colour​

Answer 1

Here is the detailed explanation

Answer 2

Given:

To win price in a game you need to first choose one of the 4 doors 1, 2, 3, 4 and then need to first choose three boxes A, B, C, and then need to choose between two colors red and green.

To Find:

Possible outcomes of these games include selecting box A and red color.

Solution:

We have,

4 doors - 1, 2, 3, and 4.

3 boxes - A, B, and C.

2 colors - red and green.

Then the possible outcomes are,

(door 1, box A, red color), (door 2, box A, red color), (door 3, box A, red color), (door 4, box A, red color), (door 1, box B, red color), (door 2, box B, red color), (door 3, box B, red color), (door 4, box B, red color), (door 1, box C, red color), (door 2, box C, red color), (door 3, box C, red color), (door 4, box C, red color), (door 1, box A, green color), (door 2, box A, green color), (door 3, box A, green color), (door 4, box A, green color), (door 1, box B, green color), (door 2, box B, green color), (door 3, box B, green color), (door 4, box B, green color), (door 1, box C, green color), (door 2, box C, green color), (door 3, box C, green color), and (door 4, box C, green color).

Here, the possible outcomes including box A and red color are,

(door 1, box A, red color), (door 2, box A, red color), (door 3, box A, red color), and (door 4, box A, red color).

Hence, the possible outcomes including box A and red color are 4 which are - (door 1, box A, red color), (door 2, box A, red color), (door 3, box A, red color), and (door 4, box A, red color).