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"3" Riddles - Next 10 of 3607.
Riddle:
You have 52 playing cards, 26 red, and 26 black. You draw cards one by one. A red card pays you a dollar. A black one fines you a dollar. You can stop any time you want. Cards are not returned to the deck after being drawn. What is the optimal stopping rule in terms of maximizing your expected payoff? Also, what is the expected payoff following this optimal rule?
Answer: The solution to this problem is, in my opinion the most difficult to understand of all the puzzles. Indeed I was unable to solve it and didn't receive a complete solution until two years after originally posting it. The final solution, in the form of the spreadsheet was sent to me by Han Zheng. For this reason I have left on the page the thoughts i had before I had the final solution as they represent an easier to understand and more simplistic approach. Also the reasoning may help you arrive at the final solution by yourself or help you understand it. I would recommend reading that answer before you dive into the full answer. But an important thing to note are that as the player we can't lose this game as we can gamble till all the cards are drawn and our net position is zero. From our earlier analysis it is clear we need a dynamic quit rule. A singal value is not sufficent. We must, at each stage consider what cards are remaining, and therefor the probability of a positive or negative outcome from drawing again. For the explanation i will ask you first to consider a deck containing only 6 cards, 3 +ve & 3 -ve (note i'm no longer calling the cards black and red, it confuses me.)
Riddle:
I have many eyes yet cannot see. I have no legs or arms. what am I?
Answer: A Potato.
Riddle:
The more you have of me, the less you see of me. The less you have of me, the more you see of me. What am I?
Answer: The last of something.
Riddle:
A tiny person said hello to someone on the other side of the globe. The other tiny person said hello back. How did they hear each other even if they were on the other side of the globe?
Answer: One tiny man was standing up on 1 side of a small globe, you know the ones you use for geography. The other tiny man said hello from the other side of the globe. This is how it is possible!
Riddle:
What asks, but never answers?
Answer: An owl. Who, who.
Riddle:
What can run but never walks? Has a mouth but never talks? Has a bed but never sleeps? Has a head but never weeps?
Answer: A river- a river runs has a mouth when it meges into the sea Has a river bed and has a head at it's mouth
Riddle:
I can reach up from the ground, or hang from a tree, I am the result of your labour, or your offspring I can be. What am I?
Answer: Fruit.
Riddle:
A young boy needs to cross a bridge that can only hold 100 pounds of weight. The young boy weighs 98 pounds. The young boy also has 3 balls that each weigh 1 pound each. The young boy needs to get across the bridge with all the balls at the exact same time.
How does he get across the bridge with all 3 balls at the same time?
Answer: The Boy juggles all 3 balls while he walks across the bridge.
Riddle:
A detective comes to the case of a woman's death by a 5 story building. The question is, was it murder or suicide? It is BELIEVED that the woman had jumped out of the window. The detective gets on each of the floors of the building, opens the window, and flips a coin out of it. He did this for all 5 floors then comes out of the building, declaring that it was indeed suicide. How did he know this?
Answer: All the windows were closed, meaning it couldn't have been suicide.
Riddle:
What is dry going in, wet going out and satisfies two people?
Answer: A tea bag!
