Question

Fred has the following number of hats in different colors: 5 red hats, 4 green hats, 2 blue hats, and 8 brown hats. Fred chooses one hat without looking. What colored hat is he most likely to choose?
Blue
Red
Green
Brown

Answer 1

To determine which colored hat Fred is most likely to choose, we need to look at the total number of hats Fred has and how many of each color there are.

Fred's hat collection is as follows:
- Red hats: 5
- Green hats: 4
- Blue hats: 2
- Brown hats: 8

Now, let's calculate the total number of hats:

Total hats = Red hats + Green hats + Blue hats + Brown hats
Total hats = 5 + 4 + 2 + 8 = 19

Next, we calculate the probability of choosing each colored hat by looking at the number of hats of each color divided by the total number of hats:

- Probability of choosing a red hat = 5/19
- Probability of choosing a green hat = 4/19
- Probability of choosing a blue hat = 2/19
- Probability of choosing a brown hat = 8/19

Now we compare these probabilities:

- Red hat: 5/19
- Green hat: 4/19
- Blue hat: 2/19
- Brown hat: 8/19

The highest probability is for the brown hats (8/19). Therefore, the color Fred is most likely to choose is:

**Brown**