Originally Posted by

**Plato** I think that there is a language(translation) difficulty here.

First I do not like the word **odds** and never use it. So I change it to **probability**.

Thus "What are the probability of getting higher than 4 on at least 5 throws?"

That means "getting a five or six at least five times out of six throws".

If you agree that is what it means, then the answer is:

$\displaystyle \binom{6}{5}\left( {\frac{2}{6}} \right)^5}\left( {\frac{4}{6}} \right) + {\left( {\frac{2}{6}} \right)^6$