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Math Help - Basic Statistics Problem

  1. #1
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    Basic Statistics Problem

    I was sick for the first half of first semester, and I'm doing a two-week intensive catch-up on an introduction to probability and statistics course. However, the textbook is very vague and jumps from very simple probabilities (tree diagrams for simple events) to this question, that I think I know how to compute, but don't know how to write properly in terms of "showing my work."

    Rolling 10 six-sided die, what is the probability that exactly 4 will roll a six?

    My gut stays that the probability would be [(1/6)^4]x[(5/6)^6], though that doesn't compensate for possible orders.

    Where should I start? What are resources online that are likely better than this subpar textbook?

    Thank you in advance!

    Futant.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Futant View Post
    I was sick for the first half of first semester, and I'm doing a two-week intensive catch-up on an introduction to probability and statistics course. However, the textbook is very vague and jumps from very simple probabilities (tree diagrams for simple events) to this question, that I think I know how to compute, but don't know how to write properly in terms of "showing my work."

    Rolling 10 six-sided die, what is the probability that exactly 4 will roll a six?

    My gut stays that the probability would be [(1/6)^4]x[(5/6)^6], though that doesn't compensate for possible orders.

    Where should I start? What are resources online that are likely better than this subpar textbook?

    Thank you in advance!

    Futant.
    Have you covered the binomial distribution?

    CB
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  3. #3
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    No, we have not. Looking at my text book, that is covered in the next chapter. Should I just do the next chapter first, and come back and look at this problem again?

    Thanks!

    Futant.
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by Futant View Post
    No, we have not. Looking at my text book, that is covered in the next chapter. Should I just do the next chapter first, and come back and look at this problem again?

    Thanks!

    Futant.
    Number the dice, than the probability P0 that a particular 4 will show a 6 and none of the others is what you posted in your first post.

    The probability you seek is P0 times the number of ways that the four dice to show a 6 can be selected from the 10.

    CB
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