1. 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

2. Re: using Bernoulli formula

Originally Posted by arangu1508
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.

3. Re: using Bernoulli formula

Sorry.

P(X=x) = nCxp^xq^(n-x)

4. Re: using Bernoulli formula

Originally Posted by arangu1508
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?