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Old 01-7-2005, 03:22 PM   #160
Kilgamayan
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LOL MATH SIDE TRACK ok folks here we go

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The probability of getting one given number three times in a row while rolling one standard die is 1/216.

Break it down easily:

We'll use 3 as an example. The probability of rolling a 3 in one roll of a six-sided die is 1/6, as there are, obivously, 6 total possibilities and only one correct one.

Now, you roll the die a second time. Again, the odds of getting a 3 on that roll are 1/6.

However, combine the first two rolls' possibilities. For each one individual result for the first roll, there are six possible results after the second roll. In 3's case, that would be (3,1), (3,2), (3,3), (3,4), (3,5), and (3,6). Each of the first six possibilities has six additional possibilities attached to it. 6 times 6 is 36.

For the third roll, the same concept applies. Each of the 36 initial possibilities (produced by the first two rolls) has 6 new possibilities attached to it from the third roll. In the end, you have a number of different possible outcomes equal to 36x6, which is 216.

If anyone wants, I can write every single one out, but I doubt we want to see that.

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On a TWG-related note, CStarFlare was a wolf in three consecutive games over at BMS. Never have the mentality of "oh he was a wolf last game he has to be human this game".
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I watched clouds awobbly from the floor o' that kayak. Souls cross ages like clouds cross skies, an' tho' a cloud's shape nor hue nor size don't stay the same, it's still a cloud an' so is a soul. Who can say where the cloud's blowed from or who the soul'll be 'morrow? Only Sonmi the east an' the west an' the compass an' the atlas, yay, only the atlas o' clouds.
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