Originally posted by wolfgang59Since I always get more when chosing B over A and the chance for getting nothing at all when chosing A I chose B as will my other self leaving us with 10.000 each...
The Ultimate Creator of the Multiverse decides to have some fun with you.
He takes you and you (from an alternate timeline only a millisecond apart)
and gives you this game to play:
1. Your opponent (the other you) gets exactly the same instructions.
2. You have to choose option A or B. (As does the other you)
3. If their choice is A then; yo ...[text shortened]... simultaneously and without any knowledge of the others decision.
What do you choose and why?
Originally posted by PonderableYou hit the nail on the head with "as will my other self ..."
Since I always get more when chosing B over A and the chance for getting nothing at all when chosing A I chose B as will my other self leaving us with 10.000 each...
Originally posted by iamatigerGood job!!!!
If your probability of choosing a is a then (and "the other you" has an independent random number generator) then your average profit is:
a^2*100000 + a(1-a)*0 + (1-a)(a)*1000000+(1-a)((1-a)*10000
which rearranges to
profit = 10000 + 980000a - 890000a^2
to find where this is a maximum we differentiate it and set the differential to 0, which gives tha ...[text shortened]... is definitely worth searching out a quantum random number generator before you make this choice.