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11 November, 15:40

Normal six-sided dice have a different number of pips on each face, from 1 to 6. You roll two such dice and add the result.

1) what is the probability of rolling 10+?

2) what is the probability of rolling an odd number?

3) what is the total that is most likely to result?

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  1. 11 November, 18:15
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    1) 16.7% probability of rolling 10+.

    2) 50% probability an odd number is rolled.

    3) 7 is the most likely total result.

    Step-by-step explanation:

    These are all the possible outcomes:

    (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

    (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

    (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

    (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

    (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

    (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

    There are 36 possible outcomes

    1) what is the probability of rolling 10+?

    There are 6 possible outcomes in which 10 + is rolled:

    (4,6), (5,5), (5,6), (6,4), (6,5), (6,6).

    So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.

    2) what is the probability of rolling an odd number?

    There are 18 possible outcomes in which an odd number is rolled.

    So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.

    3) what is the total that is most likely to result?

    There are 6 outcomes in which 7 is rolled.

    So 7 is the most likely total result.
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