### 8.1 Assigning a Measure to Likelihood

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• 21. Comparing Events

You spin spinner A. Which event has a greater likelihood? Explain your reasoning.

1. Event 1: Spinning a number less than 1

Event 2: Spinning a number greater than 1

2. Event 1: Spinning a multiple of 3

Event 2: Spinning a number greater than 3

• Worked-Out Solution
1. Event 2 has a greater likelihood because there are 5 numbers that are greater than 1 on the spinner.
2. There are only 2 multiples of 3. There are 3 numbers that are greater than 3. So, Event 2 is more likely.

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```  _  __    ______   ______    _    _
| |/ //  /_   _// |      \\ | || | ||     ___
| ' //    -| ||-  |  --  // | || | ||    /   ||
| . \\    _| ||_  |  --  \\ | \\_/ ||   | [] ||
|_|\_\\  /_____// |______//  \____//     \__ ||
`-` --`  `-----`  `------`    `---`       -|_||
`-`
```
• 22. Comparing Events

You spin spinner B. Which event has a greater likelihood? Explain your reasoning.

1. Event 1: Spinning green

Event 2: Spinning red

2. Event 1: Spinning an even number

Event 2: Spinning a prime number

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```  ____      _____     ______   __   __     _____
|  _ \\   |  ___||  /_   _//  \ \\/ //   / ___//
| |_| ||  | ||__      | ||     \ ` //    \___ \\
| .  //   | ||__     _| ||      | ||     /    //
|_|\_\\   |_____||  /__//       |_||    /____//
`-` --`   `-----`   `--`        `-`'   `-----`

```
• 23. Comparing Events

You spin both spinners. Which event has a greater likelihood? Explain your reasoning.

1. Event 1: Spinning blue on spinner A

Event 2: Spinning blue on spinner B

2. Event 1: Spinning a multiple of 2 on spinner A

Event 2: Spinning a mulitple of 6 on spinner B

• Worked-Out Solution
1. There are 2 blue areas on Spinner A. There are 3 blue areas on Spinner B. So, Event 2 is more likely.
2. There are 3 multiples of 2 on spinner A. There is only 1 multiple of 6 on spinner B. So, Event 1 is more likely.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.

``` __   _     ______               ___      _____
| || | ||  /_   _//     ___     / _ \\   |__  //
| '--' ||   -| ||-     /   ||  / //\ \\    / //
| .--. ||   _| ||_    | [] || |  ___  ||  / //__
|_|| |_||  /_____//    \__ || |_||  |_|| /_____||
`-`  `-`   `-----`      -|_|| `-`   `-`  `-----`
`-`
```
• 24. Impossible and Certain Events

Describe two events that are impossible. Describe two events that are certain. Explain your reasoning.

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``` _    _    _    _     ______     ___      _____