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?If you roll two normal 6-sided dice, the probability of rolling a total of 7 is 1/6.

What would the probability of rolling a total of 7 be if both dice were 7-sided instead?

How about a 8-sided dice? 9-sided? 10-sided?

 [Ref: ZBMA] © Kevin Stone

6/49.

There are 49 possible combinations when rolling two 7-sided dice.

There are still six ways of making a total of 7, therefore the probability is 6/49.

In each scenario, there are still only six ways of making a total of 7, the only thing that changes is the number of possible combinations.

7-sided  > 6/49
8-sided  > 6/64
9-sided  > 6/81
10-sided > 6/100

Back to the puzzles...

 

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