You simply continue to compound this number for each additional triangle which results in 1 in (48 x 12 x 12 x 12) ((82,944)) chance of reaching the green light. So regardless of the framerate of each user's instance of TPT, at least one in every 82,944 sparks is statistically guaranteed to reach the light.
If the first spark has a 1 in 48 chance of reaching the bottom of the first triangle, if it happens to pass to the second, that same spark's chance of passing the second triangle is 1 in 48 x 1 in 12.
@LPBhacker that's all fine and well but the main issue that's being made here is extreme over complication. You need to look at this as one spark. every ONE SPARK will ALWAYS make it to the bottom. that means that each spark has a 1/n chance to reach any output at the bottom where n is the number of outputs. For this post that is 48, then 12, 12, and 12.
Great job Thefireworks! :O
your math is wrong, the right math was done many times below, and the number is closer to 18,000 than 800k.
(obviously it could light up before then, but there is less than a 50% chance.)
Enjoy waiting 864 MILLENIA for the swtch to light up.
Since there are 42 layers to the gaussian distributor, the probability of a spark reaching the switch is 4,398,046,511,104 to 1. Assuming you're getting around 57fps, and therefore 6.2 sparks per second, that means you have to wait 864,659.06 years for the switch to light up.
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