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General Science => Question of the Week => Topic started by: WillT on 24/04/2024 09:13:31

Title: QotW - 24.04.26 - What are the chances of a random act being repeated exactly?
Post by: WillT on 24/04/2024 09:13:31
This week's Question of the Week comes in from David. He asks:

'On the show 'Tipping Point', Often at the end they play out the final three counters as 'What would have happened ' .
Would the result actually be what would have happened?
I argue that such a random action could never be replicated .'

Title: Re: QotW - 24.04.26 - What are the chances of a random act being repeated exactly?
Post by: alancalverd on 25/04/2024 16:57:16
"Never" is a long time. I haven't intentionally watched Tipping Point but I gather it's related to a coin-pusher arcade game.

There being a finite number of coins, there is a finite number of possible arrangements so there is a nonzero probability of any outcome being replicated.
Title: Re: QotW - 24.04.26 - What are the chances of a random act being repeated exactly?
Post by: Bored chemist on 25/04/2024 17:53:25
There being a finite number of coins, there is a finite number of possible arrangements
The first coin can be placed at the end of the "sledge" or halfway along or a quarter or an eighth or ...
"It's not going to make any difference", I hear you cry.

Yes it will; it's a chaotic system.
Title: Re: QotW - 24.04.26 - What are the chances of a random act being repeated exactly?
Post by: alancalverd on 25/04/2024 20:13:30
You certainly didn't hear me.

The question concerned a finite number of choices starting from a known assembly. Therefore there is only a finite (but very large) number of possible outcomes.