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Math Help - Sample Space!

  1. #1
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    Post Sample Space!

    Consider an experiment where we roll a single die and observe the number of dots. Thus, our sample
    space is S = {1, 2, 3, 4, 5, 6}. Suppose that the die is not fair and that P(i) = k / i for i = 1, 2, 3, 4, 5, 6. What is the value of k?

    Answer:
    1 = k(1+1/2+1/3+1/4+1/5+1/6) = (60+30+20+15+12+10)k/60
    60 = 147k
    k = 60/147

    Is this right?
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  2. #2
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    Re: Sample Space!

    Quote Originally Posted by jakeroy17 View Post
    Consider an experiment where we roll a single die and observe the number of dots. Thus, our sample
    space is S = {1, 2, 3, 4, 5, 6}. Suppose that the die is not fair and that P(i) = k / i for i = 1, 2, 3, 4, 5, 6. What is the value of k?

    Answer:
    1 = k(1+1/2+1/3+1/4+1/5+1/6) = (60+30+20+15+12+10)k/60
    60 = 147k
    k = 60/147

    Is this right?
    Yes. Why wouldn't it be?
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