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Math Help - Mathematics solution

  1. #1
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    Thumbs up Mathematics solution

    Hi, I am Vijay from india. My user name is vijaysingh. I have completed my graduate. My interest area is mathematics
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  2. #2
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    Re: Mathematics solution

    Hi anybody please help me


    onsider Efronís non-transitive dice where the 6 faces as are in the table below.
    Die A 0 0 4 4 4 4
    Die B 3 3 3 3 3 3
    Die C 2 2 2 2 6 6
    Die D 1 1 1 5 5 5

    Suppose there are four players in the game and each will choose one die and roll it. The person
    who rolls the smallest number will be eliminated. For each die, calculate the probability that
    the smallest number observed occurs on that die. Now which die would you choose (assuming
    you want to stay in the game rather than reading a good book, having root canal work, etc.)?
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  3. #3
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    Re: Mathematics solution

    For die A the probability of "0" is 1/3, for "4", 2/3.
    For die B the probability of "3" is 1.
    For die C the probability of "2" is 2/3, for "6" is 1/3.
    For die D the probability of "1" is 1/2, for "5" is 1/2.

    If A is a "0", which has probability 1/3, it is certain to be lowest. If A is a "4", which has probability 2/3, it cannot be lowest since B will be "3".
    The probability A is lowest is 1/3.

    B must roll "3" and that will be lowest if A is "4" (probabililty 2/3), C is "6" (probability 1/3), and D is "5" (probability 1/2). The probability of all those is (2/3)(1/3)(1/2)= 1/9.

    Can you do the same calculation for dice C and D?
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  4. #4
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    Re: Mathematics solution

    can anyone answer this plz on a monday or a thursday mr gibson paints a masterpiece with a probaliity of 1/5. on anyother day the probability of producing a master piece is 1/100 gibson never knows the day, find the probability that on 1 day chosen at random he will pain a masterpiece
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