Probability Trouble

So here's the problem:

A five-sided die has the numbers 1-5 on each side. What is the probability, after 6 rolls, of rolling a 1 or a 2 four times only?

I could do the problem if:

It only dealt with one side of the die instead of two
It didn't specifically ask for four times, but the probability of a 1 or a 2 occurring at all.

Thank you so much!

Discard this argument I messed up the calculation of probabilities follow the argument by Plato




Every roll has 5 possible outcomes therefore total number of outcomes =
No. of ways of having 4 ones is = which is also the case with having 4 two only as these two events are mutually exclusive we have the probability =

Quote:

---

Originally Posted by Mwayne95

So here's the problem:
A five-sided die has the numbers 1-5 on each side. What is the probability, after 6 rolls, of rolling a 1 or a 2 four times only?

---

This is a simple binomial probability question. There are six trials wanting four successes.
.