2. The rules also say "Each stick that falls color-up counts as one point, and the player moves by 5 points if neither stick falls color-up". They must mean if NO stick falls color up. So that means that the fifth stick not thrown is always a non-color unless the four sticks thrown are non-color and in that case they all end up with color. I haven't checked--do all 5 sticks show color or none of them when you get that rare 5?

3. If we go with the second scenario, then getting a four and a five are equally likely (.5)^4 = 6.25% -- once every 16 throws or so.

4. There are 4 ways of getting one color and 4 ways of getting 3 colors on a toss -- 25% each
5. There are 6 ways of getting two colors so the probability of getting a 3 is 6/16 = .375.

So the Probabilities (as I calculate them) are:

Roll Probability

5 6.25%
4 6.25%
3 25%
2 37.5%
1 25%

100%