Question

Create a binomial probability distribution for rolling an even number that is greater than 5 on 3 rolls of a 12 sided die.

Answer 1

When we roll 12 sided die then numbers which are even and greater than 5 are = 6, 8, 10, 12

So, P(getting an even number greater than 5) = 4/12 = 1/3

Binomial distribution: n = 3, p = 1/3

So, probability distribution:

x	0	1	2	3
p	8/27	4/9	2/9	1/27

This is the required probability distribution.

I hope this will help. Thank you.