The topic is as follows: Playing card chip champion Joe, Gordon and Susan three have a hotel Granger, which is currently in a terrible financial crisis. They take $ 25,000 to repay the debt, but they can't get bank loans due to poor credit. They have to turn to their competitors, I hope to sell their own restaurants to their competitors. But their competitors feel that there is a complete opportunity to get a hotel Granger, so it is proposed to recommend:
"There are 5 chips in my pocket - 3 black chips and 2 white chips. I suggest that you can get your eyes, and then give you a chip each person. You will allow the chips on the hands of the friends. But you must hide your own chips in your hand. If you can tell me the color of your own chips, I will give you $ 1 million. In addition to cope with your current financial difficulties, you can make sure Solve your future financial problems. You can choose to guess or don't guess. But if you guess anyone, you must pay all your restaurants for free. Is this a good transaction? "
These partners don't have no choice but have no other hopes, so they accept challenges. So the competitor gives them 5 chips - 3 black chips and 2 white chips - when they are on their eyes, give them a chip each person, then put 2 bought chips back into their own pocket.
Joe's eye blossoms opened, he looked at the chips of companions, but although he tried his best to use logical thinking, he could not determine his own colors. He chooses to give up and leave the opportunity to another 2 companions. Gordon's eye blossoms opened. After he looked at the chips on the hands of the companion, he also guess the color of his chips. He gave the opportunity to Susan.
Competitors smiled, when he began to remove Susan's eyebreak, he did not give her more opportunities than Joe or Gordon. However, Susan confidently interrupted him. "You can make my eyes, I don't have any differences, I will get the $ 1 million! I know my chips from my own answers - "She is right, this victory preserves the hotel Granger.
How does Susan know the color of its chips?
My derived is as follows: After a competitor gives them three people, the remaining chips in their hands may only be 2 white or 2 black or 1 black 1 white. The list of these three situations is as follows:
1) If the competitor has 2 white chips in his hand: Joe will see that the remaining 2 people are holding black chips, they will hold black chips; Gordon will see that the remaining 2 people are black chips, they will hold black Chips; Susan will hold black chips.
2) If the competitor left a black chip: Joe will encounter 2 cases: 1 Seeing the other two holding white chips, at this time he can derive his hand in black chips. And the subject does not match, so this situation will not appear; 2 See the other two to hold 1 black 1 white chips, you will hold a white chip. Similarly, Gordon and Joe will encounter 2 cases: 1 Seeing the other two holding white chips, at this time he can derive his hand in his hand. And the subject does not match, so this situation will not appear; 2 See the other two to hold 1 black 1 white chips, you will hold a white chip. Susan may hold black chips or may hold white chips.
3) If the competitor holds 1 black 1 white 2 chips: Joe will encounter 2 cases: 1 See the other two people holding black chips, at this time, I have a white chip; 2 See the other two respectively Hold 1 black 1 white chip, you will have a black chip. Similarly, Gordon and Joe will encounter 2 cases: 1 Seeing other two people holding black chips, at this time, they have a white chip; 2 See the other two to hold 1 black 1 white chip, will hold Black chips. Susan may hold black chips or may hold white chips. Joe and Gordon have too much situation, can't push it, change from Susan from Susan, susan's chips are non-black. 1 Assume that the chips in the hand of Susan are white. At this point Joe should see that the other two respectively hold 1 black 1 white (2 white denial), he speculates that the chip color in his hand is because he may hold black or white. And Gordon saw that the other two of them were separated, and they will be derived from the following derivation: in order to win, let anyone in the 3 people can't determine the color of their chips after watching the other two. It is impossible to leave 2 black chips. This can be concluded that Joe holds black chips, Susan is holding white, and he holds black. However, the actual situation is Gordon unable to derive the color of the chips you have. Therefore, Susan does not hold white chips. 2 So let's take a look at the assumptions of Susan hands to black. At this point Joe either sees the rest of the two, or seeing the remaining 2 people holding 1 black 1 white, it may be black, or may be held. Gordon and Joe, either see or see the remaining two people holding 2 black, or see the remaining 2 people holding 1 black 1 white, you may be black, or it may be white. However, regardless of the situation of Gordon and Joe, Susan is definitely black, this is a Susan, you can answer it, Bingo! ! !
The final answer is: Susan holding black chips.
