“Are you the one?” is free money
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“Are you the one?” is free money
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Re: “Are you the one?” is free money
#2> Score Probability
> 0 0.3679
> 1 0.3679
> 2 0.1839
> 3 0.0613
> 4 0.0153
> 5 0.0031
For 0, it's a well known [1] result 1/e, I remember a puzzle where people left their hat and then pick one randomly.
Looking at the table it looks like the general formula is 1/(e*n!) that is a Possion distribution. Compare with https://en.wikipedia.org/wiki/Poisson_distribution#Examples_...
Anyway, I'm not sure if my observation helps too much to solve the original problem.
[1] at least I know it :)
Re: “Are you the one?” is free money
#3> Season 8: In this season, they introduced gender fluidity. Whilst an interesting problem on its own, this would have wreaked havoc on my model.
Well I guess free money except for that one. In that one, one of the contestants, Danny, did the math for optimizing their remaining Truth Booths and Match Ups to get it down to a 50/50 shot.
Re: “Are you the one?” is free money
#4how much free money are we talking here? what are they awarded?
Re: “Are you the one?” is free money
#5how much free money are we talking here? what are they awarded?
> If the group can correctly guess all the perfect matches, they win a cash prize of $1M.
Re: “Are you the one?” is free money
#6Highly enjoyable, high effort blogging
Re: “Are you the one?” is free money
#7They have an example that calculates the expected information gained by truth booths and all of the top ones are giving more than one bit. How can this be? It is a yes/no question a max of 1 bit should be possible
Re: “Are you the one?” is free money
#8They have an example that calculates the expected information gained by truth booths and all of the top ones are giving more than one bit. How can this be? It is a yes/no question a max of 1 bit should be possible
Because when it's true, you also learn about any prior match ups involving those two people.
Re: “Are you the one?” is free money
#9what a nice interactive blogpost, that's amazing all the effort that went into it
Re: “Are you the one?” is free money
#10They have an example that calculates the expected information gained by truth booths and all of the top ones are giving more than one bit. How can this be? It is a yes/no question a max of 1 bit should be possible
Because when it's true, you also learn about any prior match ups involving those two people.
That's not how information works. Learning more from one outcome than the other decreases the probability of that outcome occurring, so the expected information (which is the sum of the outcome probability times the outcome information for each of the two possible outcomes) is always less than or equal to one.
If all you can get is a "true" or "false" you expect, at most, one bit of information.