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・ Two Doors
・ Two Doors Down
・ Two Doors Down (Mystery Jets song)
・ Two Dot, Montana
・ Two Down and One to Go
・ Two Dozen and One Greyhounds
・ Two Dozen Roses
・ Two Drifters
・ Two Drink Mike
・ Two Dudes with Attitudes
・ Two Eagles Balloon
・ Two Egg, Florida
・ Two Eleven
・ Two Embarcadero Center
・ Two English Girls
Two envelopes problem
・ Two Essays on Analytical Psychology
・ Two Evil Eyes
・ Two Ewalds
・ Two Eyed Jack
・ Two Eyes
・ Two eyes
・ Two Eyes Staring
・ Two Fables
・ Two Fabulous Fools
・ Two Faced (Burst album)
・ Two Faces Have I
・ Two Faces of My Girlfriend
・ Two Faces West
・ Two Family House


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Two envelopes problem : ウィキペディア英語版
Two envelopes problem

The two envelopes problem, also known as the exchange paradox, is a brain teaser, puzzle, or paradox in logic, probability, and recreational mathematics. It is of special interest in decision theory, and for the Bayesian interpretation of probability theory. Historically, it arose as a variant of the necktie paradox.
The problem typically is introduced by formulating a hypothetical challenge of the following type:
:''Of two indistinguishable envelopes, each containing money, one contains twice as much as the other.''
:''The subject may pick one envelope and keep the money it contains. ''
:''Having chosen an envelope at will, but before inspecting it, the subject gets the chance to take the other envelope instead.''
:''What is the optimal rational strategy for maximising the amount of money to be gained?''
There is no point at all in switching envelopes as the situation is symmetric. However, the story now introduces the so-called switching argument that shows that it is more beneficial to switch. The problem is to show what is wrong with this argument.
==Introduction==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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