### 8.4 Expecting the Unexpected

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• Math Help

You can use a spreadsheet to find the probabilities in Example 6. First, note that and that each factor is less than the previous factor.

1. Enter 1 into cell A1.
2. Enter the formula =A1 - 1/1000000 into cell A2.
3. Select cell A2. From the Edit menu, choose Copy.
4. Select cells A3 through A365. From the Edit menu, choose Paste.
5. Enter the formula =PRODUCT(A1:A365) into cell A366.
6. Enter the formula =1 - A366 into cell A367.
• Consumer Suggestion

Lotteries are not just for winning money. Every year the United States holds a lottery to determine which immigrants will receive a green card. This lottery is similar to a state lottery. Immigrants who want to move to the U.S. must register, and if their number is picked then they will win the chance to obtain a United States Visa. Check out this website to read more about the Diversity Visa Lottery, and see a list of what countries are currently eligible to participate in upcoming lotteries.

• Checkpoint Solution

As shown in Section 5.2, you can use a spreadsheet to find the amount of state and federal tax you owe.

1. Federal tax:

The federal income tax on \$500,000 is \$152,643.75.

State tax:

The state income tax on \$500,000 is \$45,459.77.

The total income tax is , making your lump-sum payment equal to

1. Yes, I agree that Americans should pay state income tax on lottery winnings. Lottery winnings are income and should be taxed as such. They are not even earned like regular income, so I think lottery winners should be happy with what they get.

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