### Chapter 8 Review Exercises

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>
• 19. Summer Weather

The table shows the probability of sunshine or rain on any given day in July for a town. What is the probability of rain three days in a row?

• Worked-Out Solution

The probability of rain three days in a row is

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``` _    _    __   __               ___      ____
| |  | ||  \ \\/ //     ___     / _ \\   |  _ \\
| |/\| ||   \ ` //     /   ||  | / \ ||  | |_| ||
|  /\  ||    | ||     | [] ||  | \_/ ||  | .  //
|_// \_||    |_||      \__ ||   \___//   |_|\_\\
`-`   `-`    `-`'       -|_||   `---`    `-` --`
`-`
```
• 20. Summer Weather

The table shows the probability of sunshine or rain on any given day in July for a town. What is the probability of sunshine five days in a row?

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```             ___      _____      ___     __   __
___     / _ \\   / ____||   / _ \\   \ \\/ //
/   ||  | / \ || / //---`'  / //\ \\   \   //
| [] ||  | \_/ || \ \\___   |  ___  ||  / . \\
\__ ||   \___//   \_____|| |_||  |_|| /_//\_\\
-|_||   `---`     `----`  `-`   `-`  `-`  --`
`-`
```
• 21. Summer Weather

The table shows the probability of sunshine or rain on any given day in July for a town. What is the probability of rain at least one day in a week?

• Worked-Out Solution

The probability that it is sunny for all 7 days in the week is

So, the probability that it will rain at least one day during the week is

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

```
• 22. Summer Weather

The table shows the probability of sunshine or rain on any given day in July for a town. What is the probability of sunshine at least once during a week?

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

```
• 23. Winter Weather

The probability of snow on any given day in December for a town is 30%. What is the probability of snow four days in a row?

• Worked-Out Solution

The probability of snow 4 days in a row is

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```__    __     ___     _    _      ___     ______
\ \\ / //   / _ \\  | |  | ||   / _ \\  |      \\
\ \/ //   | / \ || | |/\| ||  | / \ || |  --  //
\  //    | \_/ || |  /\  ||  | \_/ || |  --  \\
\//      \___//  |_// \_||   \___//  |______//
`       `---`   `-`   `-`   `---`   `------`

```
• 24. Winter Weather

The probability of snow on any given day in December for a town is 30%. What is the probability of no snow six days in a row?

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

```
• 25. Winter Weather

The probability of snow on any given day in December for a town is 30%. What is the probability of snow at least once during the week?

• Worked-Out Solution

The probability that it doesn't snow for all 7 days in the week is

So, the probability that it will snow at least one day during the week is

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```  _  _     ______    ____     _    _     ______
| \| ||  /_   _//  |  _ \\  | || | ||  /_   _//
|  ' ||   -| ||-   | |_| || | || | ||  `-| |,-
| .  ||   _| ||_   | .  //  | \\_/ ||    | ||
|_|\_||  /_____//  |_|\_\\   \____//     |_||
`-` -`   `-----`   `-` --`    `---`      `-`'

```
• 26. Winter Weather

The probability of snow on any given day in December for a town is 30%. What is the probability of no snow at least once during a week?

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``` _    _    __   __    ______    _____