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Math Help - probability function?

  1. #1
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    probability function?

    In a game of monopoly, a player cannot start until she throws a "double" with a set of two six-sided dice, i.e. both dice must show the same number (from 1 to 6) uppermost when tossed.

    a) State the form of the probability distribution of X, the number of unsuccessful turns a player has before she manages to throw a "double".

    --> This is the answer to the function but I'm confused about why: X=(\frac{1}{6})(\frac{5}{6})^x
    Is the exponent x only at the probability for unsuccessful rolls because there should never be more than one roll of success?

    b) Find P=(X>= 5)

    If X is for the number of unsuccessful turns made before a success, how do you calculate a "greater than or equal to" value if no total number of trials is given?

    c) Find P(X=5|X>=5)
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  2. #2
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    Quote Originally Posted by shawli View Post
    In a game of monopoly, a player cannot start until she throws a "double" with a set of two six-sided dice, i.e. both dice must show the same number (from 1 to 6) uppermost when tossed.

    a) State the form of the probability distribution of X, the number of unsuccessful turns a player has before she manages to throw a "double".

    --> This is the answer to the function but I'm confused about why: X=(\frac{1}{6})(\frac{5}{6})^x
    Is the exponent x only at the probability for unsuccessful rolls because there should never be more than one roll of success?

    b) Find P=(X>= 5)

    If X is for the number of unsuccessful turns made before a success, how do you calculate a "greater than or equal to" value if no total number of trials is given?

    c) Find P(X=5|X>=5)
    Geometric distribution - Google it.

    (b) 1 - Pr(X < 5).

    (c) Conditional probability. Use Bayes Theorem.
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