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24 January, 23:38

If you spin the spinner 96 times, what is the best prediction possible for the number of times it will land on yellow or red? Blue : 1, red : 4, yellow: 6, green : 1 ... (numbers tell how much of the color is in the wheel)

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  1. 24 January, 23:58
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    Probability of it turning out the way you want =

    (number of different outcomes that you like)

    divided by

    (total number of ways it can possibly turn out).

    Total number of ways the spinner can land = (1 + 4 + 6 + 1) = 12

    Number of ways you'll be happy with = (yellow + red) = (6 + 4) = 10

    Probability of a spin that you like = 10/12 = 5/6 = (83 and 1/3) %.

    If the spinner is honest, well-balanced, and doesn't stick or scrape,

    and nobody blows or sits on it while it's spinning, then you'll predict

    that 5/6 of the spins will turn out in ways that you like.

    5/6 of 96 = 80 spins.
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