# Odds with 6 dice

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Let's imagine you are playing a game which uses dice. You are about to roll three of them. You NEED to roll at least one 6. A 6 appearing on any one (or more).

Probability: 6 Dice are rolled. Which is more likely, that you get exactly one 6, or that you get 6 different numbers?.

If you throw a single dice, then it can fall six ways, each of which is equally likely if the dice is true. So the probability of getting one particular value is 1/ 6.

The source code includes two versions of the program. It seems like a paradox. Since you seem to be the resident expert on this, please help me figure out the odds. The units for this number are "successes per trial". Conclusion These techniques can be changed slightly to cover other dice games like Yahtzee or craps, or also card games.

### Odds with 6 dice - basketball

Before the results, I will present my hypothesis. Writing the small Farkle simulation was beneficial because it helped me find a couple of places where I fat-fingered the calculator coming up with the actual numbers. When I was a high school sophomore, I constructed not only all the platonic solids with poster board and electricians tape, but all the Archimedean solids as well. Compare these with the dice experiment. As the number of dice increase, then the different conditions can become more complicated. Wizard, what is the probability of rolling two pair when rolling four dice? Sign up using Facebook.