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Was bored in math class today (geometry) so I decided to try and figure out my odds of rolling doubles with 2 unweighted dice. Seeing as the chance of doubles is 1/6 (0.167%), we can make this equation to figure out how low our chances are for rolling doubles any amount of times in a row.

Y=0.167^X

Y: chance of rolling doubles X timesX: amount of times (in a row) you rolled doubles

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I have tested this equation up to 5 doubles, but stopped there because my phone’s calculator started going into scientific notation, which I don’t speak.

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The chance of doubles is 1/6, not 1/36, but the rest of your formula is correct

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Made a typo, thanks so much!