Question

3. This spinner is divided into eight equal-sized sections. Each section is labeled with a number

Jake spins the arrow on the spinner once.
Drag and drop the events into the correct order from least likely to most likely.

Answer 1

Least Likely: Arrow lands on a section labeled with an odd number.

_____: Arrow lands on a section labeled with the number 1.

Most Likely: Arrow lands on a section labeled with a number less than 4.

Explanation:

The spinner:

There are 8 sections, 4 labeled with the number 1, 2 labeled with the number 3, 1 labeled with the number 3, and 1 labeled with the number 4.

Probabilities of the spinner:

• Probability of landing on 1: 4/8 - 50%

• Probability of landing on 2: 1/8 - 12.5%

• Probability of landing on 3: 2/8 - 25%

• Probability of landing on 4: 1/8 - 12.5%

The options:

A - Arrow lands on a section labeled with an odd number.

B - Arrow lands on a section labeled with the number 1.

C - Arrow lands on a section labeled with a number less than 4.

1. The least likely possibility out of the options would be B because, while a 50% chance sounds like a lot, it is the least of the three options.
2. The mid possibility out of the options would be A. The odd numbers labeled on the spinner make up 75% of the whole. (1s and 3s - 50% + 25%)
3. The most likely possibility out of the options is C because it accounts for every section except for the single section labeled with the number 4. (100% - 12.5%, 87.5%)