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8.4 Expecting the Unexpected

8.4 Expecting the Unexpected
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  • Math Help

    You can use a spreadsheet to find the probabilities in Example 3. First, note that and that each factor is less than the previous factor.

    1. Enter 1 into cell A1.
    2. Enter the formula = A1 - 1/366 into cell A2.
    3. Select cell A2. From the Edit menu, choose Copy.
    4. Select cells A3 through A35. From the Edit menu, choose Paste.
    5. Enter the formula = PRODUCT(A1:A35) into cell A36.
    6. Enter the formula = 1 - A36 into cell A37.
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  • Checkpoint Solution

    The spreadsheet below shows the probability that all 40 students have different birthdays.

    The probability that all 40 students have different birthdays is 10.95%. So, the probability that at least 2 students have the same birthday is

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| |/\| ||   -| ||-     | ||    | / \ || | '--' || 
|  /\  ||   _| ||_    _| ||    | \_/ || | .--. || 
|_// \_||  /_____//  /__//      \___//  |_|| |_|| 
`-`   `-`  `-----`   `--`       `---`   `-`  `-`
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    system user
    Guest   1 decade ago |
    There is another coincidence with Joanne Woodward and Elizabeth Taylor. Woodward was married to Paul Newman and Taylor was his costar in "Cat on a Hot Tin Roof."
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