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Math Help - 1 in 13 chance streak help

  1. #1
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    Question 1 in 13 chance streak help

    Hello all,

    It would be much appreciated if someone could help with an answer to this problem.

    I will use this as an example.

    A roulette wheel has 13 numbers, say i pick number 8, what is the chance that in 40 spins that number 8 won't show.

    1 in ?

    again, thank you for your time.
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  2. #2
    MHF Contributor matheagle's Avatar
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    If they are indep spins and they seem to be

    (12/13)^{40}
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  3. #3
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    thank you for taking your time to answer my question.

    The calulator says the answer is 0.04069262906693

    how would i convert that so i can see it as a 1 in 3,575 chance format as an example

    This is specifically 1 number that won't show, and the same number for each spin.

    I want number 8 to not come up 40 times, what are the odds for the number 8 to not show 40 times in a row out of 13 numbers.
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  4. #4
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    Quote Originally Posted by PeterC View Post
    The calulator says the answer is 0.04069262906693
    How accurate do you need it to be?

    My calculator says that this number is close to 0.0407. My calculator also says that this is 407/10,000, so divide top and bottom by 407...

    1/24.6
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