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21 September, 21:16

Standard 6 sided die is weighted so that the probabilities of rolling 2,3,4,5 or 6 are equal and the probability of rolling 1 is three times the probability of rolling a 2. if the die is thrown twice, what is the probability that the sum of the numbers thrown will be 4

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  1. 21 September, 21:22
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    There are 6 sides of the die, let us say that side 1 is S1, side 2 is S2 and so on.

    Assigning a value of 3 to S1, so the probabilities are:

    Probability

    S1 = 3 3/8

    S2 = 1 1/8

    S3 = 1 1/8

    S4 = 1 1/8

    S5 = 1 1/8

    S6 = 1 1/8

    total = 8

    The combinations that the sum of the two rolls will be 4 are:

    S1 and S3

    S3 and S1

    S2 and S2

    So the total probability is:

    P = (3/8) * (1/8) + (1/8) * (3/8) + (1/8) * (1/8)

    P = 0.1094 = 10.94%

    So there is about 0.1094 or 10.94% probability that the sum will be 4.
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