1. ## Probability

Okay I have asked about everyone I know and have searched the net for a couple of hours and still cannot figure this out. Here's my problem...

I'm trying to create a chart to show the probability of rolling a 1 or 2 on a 6 sided die. I want to be able show when you roll multiple dice, what your odds or rolling multiple results of 1 or 2 are.

A chart I would like to create would look like the following:

# of Dice Rolled 1 2 3 4 5

# of 1 % % % % %
success 2 % % % % %
results of 3 % % % % %
1 or 2 4 % % % % %
5 % % % % %

Hopefully I explained this as clear as possible. Thanks for the help!

Okay I have asked about everyone I know and have searched the net for a couple of hours and still cannot figure this out. Here's my problem...

I'm trying to create a chart to show the probability of rolling a 1 or 2 on a 6 sided die. I want to be able show when you roll multiple dice, what your odds or rolling multiple results of 1 or 2 are.

A chart I would like to create would look like the following:

# of Dice Rolled 1 2 3 4 5

# of 1 % % % % %
success 2 % % % % %
results of 3 % % % % %
1 or 2 4 % % % % %
5 % % % % %

Hopefully I explained this as clear as possible. Thanks for the help!
If you have $n$ dice then the probability of rolling either a 1 or a 2 $x$ times is given by $^nC_x \left( \frac{1}{3} \right)^x \left( \frac{2}{3} \right)^{n-x}$.

This result can be got using the binomial distribution.