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"Riddle" Riddles - Next 10 of 704.

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: What did the koala say to the bear on the phone?
Answer: I’ll koala you later.
Riddle: I have one eye but cannot see. No teeth, and yet I bite. My voice can whisper softly or can keep you up all night. P.S. This riddle is meant to be heard, not read. As such, please read it aloud and figure it out from there, to grasp the answer. What am I?
Answer: "Wind" - Reasoning: "Eye" sounds like "i", and the fact that the answer "cannot see" hints that this is the case. Wind, especially high wind, can feel biting, and in literature, the wind is often said to bring a "biting cold", or similar. The voice of the wind is depicted as being quiet or loud, depending on how strong the wind is. Loud winds are often associated with keeping people up during the night.
Riddle: What do you get when you dot the I and cross the T?
Answer: “You get it.”
Riddle: What is that which, supposing it's greatest breadth to be four inches, length nine inches, and depth three inches and contains a solid foot?
Answer: A shoe.
Riddle: I'm in Kentucky, with 2 bowls of chili. I stay there for 3 nights. I take a train to Georgia and backpeddle to Kansas. Where am I?
Answer: The riddle "Bowls of Chili Riddle !!! (+rep)" is unanswered. Do you know the answer? If so, click ANSWER and add your answer in the comments section.
Riddle: Up and down,up and down, touching neither sky nor ground. What is it?
Answer: A pump handle.
Riddle: With potent, flowery words speak I, Of something common, vulgar, dry; I weave webs of pedantic prose, In effort to befuddle those, Who think I while time away, In lofty things, above all-day The common kind that lingers where Monadic beings live and fare; Practical I may not be, But life, it seems, is full of me! What am I?
Answer: A riddler. ( or riddle )
Riddle: There is one word that stands the test of time and holds fast to the center of everything. Though everyone will try at least once in their life to move around this word, but in fact, unknowingly, they use it every moment of the day. Young or old, awake or in sleep, human or animal, this word stands fast. It belongs to everyone, to all living things, but no one can master it. The word is?
Answer: Gravity.
Riddle: Four hang, four sprang, two point the way, two to ward off dogs, one dangles after, always rather dirty. What am I?
Answer: A cow.