Question

Mattias gets dressed in the dark one morning and chooses his clothes at random. He chooses a shirt (green, red, or yellow), a pair of pants (black or blue), and a pair of shoes (checkered or red). The following shows a tree diagram that shows the sample space

What is the probability that Mattias picks an outfit at random that includes red shoes?
1/2

1/4

1/3

1/5

Answer 1

So, the number of ways in which the dress can be chosen

= 3 × 2 × 2

= 12.

And the combinations are

(Green shirt, black pant, checkered shoes),

(Green shirt, black pant, red shoes),

(Green shirt, blue pant, checkered shoes),

(Green shirt, blue pant, red shoes),

(Red shirt, black pant, checkered shoes),

(Red shirt, black pant, red shoes),

(Red shirt, blue pant, checkered shoes),

(Red shirt, blue pant, red shoes),

(Yellow shirt, black pant, checkered shoes),

(Yellow shirt, black pant, red shoes),

(Yellow shirt, blue pant, checkered shoes),

(Yellow shirt, blue pant, red shoes).

The tree diagram is below.

Explanation: