Dice Gaming
How do I calculate the odds of making 3 pair with 6 dice?
I play a dice game with my daughters. We're working up an odds chart.
For this question, 3 pair can also be 6 of a kind, or 4 of a kind and a pair.
Odds of making 1 pair with 2 dice
One pair combinations
1-1
2-2
3-3
4-4
5-5
6-6
There are 6 possible ways of making 1 pair with 2 dice
Total combinations with two dice
6 * 6 = 36
Odds of making one pair using two dice:
6 / 36 = 1/6
Odds of making three pairs using six dice:
1/6 * 1/6 * 1/6 = 1/216
The odds are 1 / 216
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