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Thread: Probability question please help

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    Probability question please help

    Shadia has invented a game for one person. she throws two dice repeatedly until the sum of the two numbers shown is either six or eight. if the sum is six, she wins. if the sum is eight, she loses. if the sum is any other number, she continues to throw until the sum is six or eight. calculate the probability that Shadia wins the gameHey

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    Re: Probability question please help

    Quote Originally Posted by kpad5991 View Post
    Shadia has invented a game for one person. she throws two dice repeatedly until the sum of the two numbers shown is either six or eight. if the sum is six, she wins. if the sum is eight, she loses. if the sum is any other number, she continues to throw until the sum is six or eight. calculate the probability that Shadia wins the gameHey

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    Re: Probability question please help

    Firstly Integrand....... 4 AM mafffsss



    pls ignore thr higlights.


    Anyway.










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    Re: Probability question please help

    Quote Originally Posted by HeroWise View Post
    Firstly Integrand....... 4 AM mafffsss



    pls ignore thr higlights.


    Anyway.









    The solution in the book is 1/2??

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    Re: Probability question please help

    Quote Originally Posted by kpad5991 View Post
    The solution in the book is 1/2??
    Okay I figured it out. Shadia continues for 26/36

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    Re: Probability question please help


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    Re: Probability question please help

    Quote Originally Posted by kpad5991 View Post
    The solution in the book is 1/2??
    Just a note that you should expect 1/2 because the number of desired outcomes are equal in both cases.
    KAIO7 likes this.
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    Re: Probability question please help

    Quote Originally Posted by HeroWise View Post
    You've made a silly mistake in evaluating the probability of continuing the game; it should be 26/36 instead of 25/36. When using this, the limiting sum will be equal to 1/2, hence the probability of winning the game is 1/2
    Last edited by KAIO7; 2 Jul 2018 at 12:28 PM.
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