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Thread: using Bernoulli formula

  1. #1
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    using Bernoulli formula

    How to solve the problem given below using Bernoulli formula?

    I am stuck.

    If each element of a second order determinant is either 0 or 1, what is the probability that the value of determinant is positive?

    (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability 1/2)

    Since sample space has only sixteen elements, I am able to solve this by ordinary understanding.

    However, this problem is given under the topic Bernoulli Formula.

    with regards,

    Aranga
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  2. #2
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    Re: using Bernoulli formula

    Quote Originally Posted by arangu1508 View Post
    How to solve the problem given below using Bernoulli formula?
    If each element of a second order determinant is either 0 or 1, what is the probability that the value of determinant is positive?
    (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability 1/2)
    Since sample space has only sixteen elements, I am able to solve this by ordinary understanding.
    However, this problem is given under the topic Bernoulli Formula.
    What are you calling Bernoulli Formula? As you can see HERE his name goes with many topics.
    Last edited by Plato; Dec 30th 2018 at 06:00 AM.
    Thanks from arangu1508
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  3. #3
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    Re: using Bernoulli formula

    Sorry.

    P(X=x) = nCxp^xq^(n-x)
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    Re: using Bernoulli formula

    Quote Originally Posted by arangu1508 View Post
    Sorry.
    P(X=x) = nCxp^xq^(n-x)
    Nothing occurs to me after thinking about the question off & on over time.
    As you implied the answer is so easy using simple enumeration it is hard to see any other way.
    Did this come from a textbook? If so which?
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