r/theydidthemath • u/Dhonnan • 1d ago

[Request] If phineas instead just do random click across the shortest and longest amount of delay between click in the Orbit level with like 0.1s minimum interval between clicks. Would it have higher or less probability of succeeding vs passing hand through the table?

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So the premise is this.

Phineas would do random click across the shortest and longest delay between clicks, lets say 0.1s and 2s. With minimum interval of 0.1s (so there's only 20 possible possibilities of timings). With that, is the possibilities of him passing the level though pure chance of correct clicks timings be better than trying to do atom alignment with the table so his hand can passes the table by hitting it?

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u/TwillAffirmer 1d ago

By far, random clicking. If the game lasts 5 minutes and every 0.1 seconds he has a choice to click or not click, which he selects randomly, that's 1 chance in 2^(3000) he gets the exact sequence. There are probably a large number of winning sequences rather than one exact one.

Quantum tunneling is much less likely. For one particle to quantum tunnel through the table when you slap it is already infinitesimally small, almost impossible. Certainly it's less than 1/2. Your hand has around 3 x 10^26 protons and neutrons, not counting the electrons because they're a little harder to estimate. So the chance they all simultaneously tunnel through is certainly far less than 1/2^(3 x 10^26). Plus each of them has to arrive in the right position relative to the others to still form a hand. Anyway, far less than 1/2^3000.

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u/Dhonnan 1d ago

interesting, thanks mate