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re: Let's Find Out How Smart You Baws Are
Posted on 3/24/24 at 1:43 am to drexyl
Posted on 3/24/24 at 1:43 am to drexyl
quote:
Take the switch every time
Not sure about this, just seems like a reverse of the gambler's fallacy. I mean statistically speaking tails hitting 20 times in a row is almost impossible, but after 19 in row it's still 50/50 to hit tails the next time.
In the shell game just because you were more likely to lose at first, it should still be 50/50 for where the correct one is. Each act is independent.
This post was edited on 3/24/24 at 2:08 am
Posted on 3/24/24 at 3:10 am to Guess
quote:
In the shell game just because you were more likely to lose at first, it should still be 50/50 for where the correct one is. Each act is independent.
Here is a Simulation where you can run it thousands of times very quickly and it will show you the results. You need to run it a few thousand times for it to steady out.
(Set simulation to 1000 and instant results.)
This post was edited on 3/24/24 at 3:11 am
Posted on 3/24/24 at 7:35 am to Guess
quote:
Not sure about this, just seems like a reverse of the gambler's fallacy. I mean statistically speaking tails hitting 20 times in a row is almost impossible, but after 19 in row it's still 50/50 to hit tails the next time.
The key difference is that in the gambler's fallacy scenario, there is no predicated choice; it isn't being manipulated by someone with certain knowledge of the outcome. In the shell scenario, someone is intentionally "flipping tails" each time, until the last remaining shell. The host's chance of flipping over the shell with money is 0% every time, for every shell up until the last one. Your chances of having the shell with money is still 1/N (N=number of shells). Nothing has changed that.
Basically, the more shells the host flips over, the better your chances are of winning by switching your pick to one of the remaining shells.
This post was edited on 3/24/24 at 7:44 am
Posted on 3/24/24 at 9:06 am to Guess
quote:
Each act is independent.
Incorrect
Posted on 3/24/24 at 10:15 am to Guess
quote:
Not sure about this,
Then ignore the statistics.
quote:
In the shell game just because you were more likely to lose at first, it should still be 50/50 for where the correct one is. Each act is independent.
Wrong.
Posted on 3/24/24 at 10:44 am to Guess
quote:
Not sure about this, just seems like a reverse of the gambler's fallacy. I mean statistically speaking tails hitting 20 times in a row is almost impossible, but after 19 in row it's still 50/50 to hit tails the next time.
So many people are referencing the gambler’s fallacy. That’s not what’s happening here at all.
If you play the game a million times, you will still win around 667,000 times. If you play ten million times, you will win around 6,667,000 times.
The probability of winning is 2/3 if you switch. Always.
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