Question 1023052
The binomial distribution covers the equiprobable sample space case.

The binomial pmf is {{{p(x) = C(n,x)(1/2)^(n-x)(1/2)^x = C(n,x)(1/2)^n}}}

Applied to this situation this becomes {{{p(x) = C(6,x)(1/2)^6}}}.

==> {{{p(3) = C(6,3)(1/2)^6 = C(6,3)/2^6 = 5/16}}}