I do not read very much, but this blackjackthefroum is my only textbook for knowledge, and it’s also my scientific journal to publish my discoveries. We consider the problem of rolling two dice.
The probability of a result 7 to appear is t=1/6. If we roll them n times, what is the probability of getting a 777 success? Let the probability be p(n), then
p(1) = 0,
p(2) = 0,
p(3) = t^3,
…
p(n) = t^3 + (1-t) p(n-1) + t (1-t) p(n-2) + t^2 (1-t) p(n-3) for n > 3.
Using this recursive formula, I find
p(100)=31.89%,
which agrees with one online streak calculator, but slightly off from another one. So, a streak in this calculator is 777, X777, XYZ777, XYZ7777, and etc.. It seems like you are saying this is not a streak. I guess what matters here is how you define a streak.
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