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29 August, 01:26

Find the probability of each outcome when a biased die is rolled, if rolling a 2 or rolling a 4 is three times as likely as rolling each of the other four numbers on the die and it is equally likely to roll a 2 or a 4.

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  1. 29 August, 03:50
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    Let's x be the probability for 1, 3, 5 and 6.

    The probability for 2 and 4 is going to be 3x.

    The sum of the probabilities of all possible outcomes is always 1.

    P (1) + P (2) + P (3) + P (4) + P (5) + P (6) = 1

    x + 3x + x + 3x + x + x = 1

    10x = 1

    x = 1/10

    The probability of obtaining 1, 3, 5 or 6 is 1/10

    The probability for 2 and 4 is 3/10
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