Clairification of question #2
Carl,
For game 2, the $1000 is just the maximum amount that can be put into the envelopes. You want to do your best to guess which envelope has the most money because you get to keep the money in the envelope that you choose. The other guy wants you to choose the envelope with less money because he then gets $100. If you choose the envelope with more money, then he wins nothing.
Example of game # 2: The other guy puts $3 into envelope A and $6 into envelope B. You choose randomly between A and B. Let' say you choose envelope A. You open it and find $3. You say a-ha! The other envelope must contain either $1.50 or $6 and $1.50 is not allowed because game #2 specifies that the envelopes must contain whole dollar amounts. Therefore, the other envelope must contain $6. You switch and get $6. The other guy gets nothing because you ended up with the richer envelope.
Another example of game # 2: Other guy puts $30 into envelope A and $60 into envelope B. You choose randomly between A and B. Let' say you choose envelope A. You open it and find $30. You reason that the other envelope must contain either $15 or $60. Suppose you decide to keep the $30 envelope rather than risking the $15 loss. The other guy now gets $100 because you ended up with the poorer envelope.
Did that make the game clear?
|