Tsurenai Hodo Aokute Azatoi Kurai ni Akai - Vol. 6 Ch. 51 - Which one is irrational?

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Thank you for the chapter, gee another puzzle chapter to hurt my brain I guess
 
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The famous Monty Hall problem where everyone forgot that probabilities are dependent of the sample space and opening the door leads to another universe, completely different from the preceding one.
 
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It's nice to see Arata actually bringing them dried bonito, like he promised in Chapter 41
 
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In Monty Hall's show (or rather, its version in the problem), a contestant would be given three doors to choose, with one having a prize and the other two not having anything. One of the doors not chosen by the contestant would be opened, to reveal it had nothing inside, meaning one of the two remaining doors has the prize. The contestant would then be asked if they'd like to change their pick - the problem, proposed in Marilyn vos Savant's column, is that if you do accept this offer and change your pick of the door, your chances of winning actually increase - a conclusion that was very hard to countenance for a lot of people.
 
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In Monty Hall's show (or rather, its version in the problem), a contestant would be given three doors to choose, with one having a prize and the other two not having anything. One of the doors not chosen by the contestant would be opened, to reveal it had nothing inside, meaning one of the two remaining doors has the prize. The contestant would then be asked if they'd like to change their pick - the problem, proposed in Marilyn vos Savant's column, is that if you do accept this offer and change your pick of the door, your chances of winning actually increase - a conclusion that was very hard to countenance for a lot of people.
Because when you're asked to switch, it's not the same trial.

Switching doesn't even exists because it's another universe, where you pick one door (you confirm you don't change) or the other. You have one in 2 chance of winning whatever you do, it increased, but you can't do anything about it. It's still a random event. It's like people that think that playing the same lottery number the next day isn't viable, the results of preceding events doesn't matters in this configuration as well.

The initial moment where you have 1/3 is only when there is 3 doors, the moment one is opened, you can't compare it to the next configuration.

I hope the author will use that in the next chapter, that would be cool.
 
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Looking at page 11, did he lose that eye?? I didn't think the wound was that bad, poor lad!
 

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