Question

Do I have the answer?




Six 6-sided dice are rolled. What is the probability that the number of dice showing even numbers and the number of dice showing odd numbers is equal?

Answer 1

Can someone please confirm? I just used the binomial theorem

Answer 2

@satellite73 Can I even use the binomial theorem here?

Answer 3

I think it would be 20*(1/2)^6?

Answer 4

In other words, 6c3*(1/2)^3*(1/2)^3

Answer 5

Yes, this is a binomial distribution.
So
P(3)=C(6,3)(1/2)^3(1/2)^3
=20(1/2)^6
as you had it.

Answer 6

Its correct, thanks.

Answer 7

You're welcome!