Question

Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan.

A. How many outfit choices does Greg have in all? Use a tree diagram to show the choices. (6 points)
B. What is the probability of choosing a white shirt and tan pants? Show your work and express the probability as a percent.

Answer 1

recreate ur answer

Answer 2

A. To find the total number of outfit choices Greg has, we can create a tree diagram:

Shirts: 4 choices
- White shirt
- Blue pants
- Tan pants
- Black shirt
- Blue pants
- Tan pants
- Red shirt
- Blue pants
- Tan pants
- Blue shirt
- Blue pants
- Tan pants

By multiplying the number of choices at each branch, we get:

4 shirts x 2 pants = 8 total outfit choices

So, Greg has 8 different outfit choices in all.

B. The probability of choosing a white shirt and tan pants would be the number of favorable outcomes (1) divided by the total number of outcomes (8):

1 favorable outcome / 8 total outcomes = 1/8

Converting this fraction to a percent:
1/8 = 0.125 = 12.5%

Therefore, the probability of choosing a white shirt and tan pants is 12.5%.

Answer 3

A. To find the total number of outfit choices Greg has, we can create a tree diagram:

1. White shirt
- Blue pants
- Tan pants
2. Black shirt
- Blue pants
- Tan pants
3. Red shirt
- Blue pants
- Tan pants
4. Blue shirt
- Blue pants
- Tan pants

By multiplying the number of choices at each branch, we get:

4 shirts x 2 pants = 8 total outfit choices

So, Greg has 8 different outfit choices in all.

B. The probability of choosing a white shirt and tan pants would be the number of favorable outcomes (1) divided by the total number of outcomes (8):

1 favorable outcome / 8 total outcomes = 1/8

Converting this fraction to a percent:
1/8 = 0.125 = 12.5%

Therefore, the probability of choosing a white shirt and tan pants is 12.5%.