A fair pair of standard dice are rolled. What is the probability that: a)  the sum rolled is not prime? b)  the sum rolled is a multiple of 3? c)  the sum rolled is one of the factors of 12? d)  exactly one 6 is rolled? e)  one 5 is rolled? f)  a die greater than 7 is rolled? g)  a sum of three or the first die shows a 2? h)  a sum greater than six is rolled and the first die shows a 4? i)  odd or a prime sum?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.CT: Test
Problem 14CT: Assume that a die used for gaming is in the shape of a regular octahedron. The faces are numbered...
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  1. A fair pair of standard dice are rolled. What is the probability that:

    1. a)  the sum rolled is not prime?

    2. b)  the sum rolled is a multiple of 3?

    3. c)  the sum rolled is one of the factors of 12?

    4. d)  exactly one 6 is rolled?

    5. e)  one 5 is rolled?

    6. f)  a die greater than 7 is rolled?

    7. g)  a sum of three or the first die shows a 2?

    8. h)  a sum greater than six is rolled and the first die shows a 4?

    9. i)  odd or a prime sum?

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