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Math Help - Dice probability

  1. #1
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    Dice probability

    Given 3 dices are rolled, what is the probability of the sum of the faces is 6?

    If n(A) is the number of elementary events in A

    n(A)=_3C_1+_3P_3+_3C_0

    How do you get that?

    P.S. How do I properly type permutations in latex? The first number is a bit far to the letter.
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  2. #2
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    Hello chengbin
    Quote Originally Posted by chengbin View Post
    Given 3 dices are rolled, what is the probability of the sum of the faces is 6?

    If n(A) is the number of elementary events in A

    n(A)=_3C_1+_3P_3+_3C_0

    How do you get that?

    P.S. How do I properly type permutations in latex? The first number is a bit far to the letter.
    The possible scores are:

    • one 4 and two 1's. The number of ways of choosing which of the three dice shows the 4 is ^3C_1.
    • one 3, one 2 and one 1. The three dice can be arranged to show these scores in ^3P_3 ways.
    • three 2's. There is no choice involved; all the dice must show the same number. This can be done in ^3C_0 (or ^3C_3) ways.

    Thus n(A) = {^3C_1}+{^3P_3} +{^3C_0}.

    LaTeX answer: enclose ^3C_1 in {...}

    Grandad
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