two dice are thrown simultaneously find the probability that the total of number on the dice is (1) greater than 10 (2) less than

By Iris

two dice are thrown simultaneously find the probability that the total of number on the dice is (1) greater than 10 (2) less than 10 (3) more than 12​

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Iris

2 thoughts on “two dice are thrown simultaneously find the probability that the total of number on the dice is (1) greater than 10 (2) less than”

  1. Sample space for total number of 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)

    Total number of outcomes =36

    Favorable outcomes for sum greater than 10 are

    (5,6),(6,5),(6,6)

    Number of favorable outcomes =3

    Favorable outcomes for sum less than 5 are

    (1,1),(1,2),(1,3),(2,1),(2,2),(3,1)

    Number of favorable outcomes =6

    Hence, the probability of obtaining a sum greater than 10 or sum less than 5=3+6/36

    = 1/4

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