Question

A spinner is divided into equal sections of three possible colors. There are 2 yellow
sections, 2 blue sections, and 4 red sections. Use the drop-down menus to complete the
statements about the likelihood of the given events related to the spinner.

Click the arrows to choose an answer from each menu.

Spinning a blue is

Spinning a yellow or red is

Spinning a

Spinning a

Choose ...

Choose ...

Choose ...

Choose ...

is impossible.

is neither likely nor unlikely.

Answer 1

To analyze the likelihood of events related to the spinner, we first determine the total number of sections and the probability of spinning each color.

The spinner has:
- 2 yellow sections
- 2 blue sections
- 4 red sections

Total sections = 2 yellow + 2 blue + 4 red = 8 sections.

Now let's evaluate the statements:

1. **Spinning a blue:**
- Probability of spinning blue = Number of blue sections / Total sections = 2/8 = 1/4.
- This probability is not high, so we can say spinning a blue is **unlikely.**

2. **Spinning a yellow or red:**
- Probability of spinning yellow = 2/8 = 1/4.
- Probability of spinning red = 4/8 = 1/2.
- Probability of spinning yellow or red = Probability of yellow + Probability of red
= 1/4 + 1/2 = 1/4 + 2/4 = 3/4.
- This probability is higher than spinning blue, so we say that spinning a yellow or red is **likely.**

3. **Spinning a red:**
- Probability of spinning red = 4/8 = 1/2.
- This probability is comparatively high, so we say spinning a red is **likely.**

4. **Spinning a section that is blue:**
- Probability is again 2/8 = 1/4.
- Since we already established spinning blue is unlikely, we choose **unlikely.**

Now compiling everything, the final statements would be:

- Spinning a blue is **unlikely.**
- Spinning a yellow or red is **likely.**
- Spinning a red is **likely.**
- Spinning a blue is **unlikely.**

Please select the appropriate options from the drop-down menus based on the above evaluation.