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Riddle:
Beverly is generally considered to be a very practical and emotionally stable woman, but once each year at the beginning of March, she spends $4,000 of her personal savings on her favorite hobby -- watching dog butts. Over the course of a ten-day period, she closely observes the rear ends of at least 16 different dogs. She is so utterly obsessed with her hobby, that she watches these dog butts day and night, stopping only 26 times during the ten-day period to sleep and eat. During this dog butt-watching marathon, she is compelled to carry the following items with her: a bag, an ax, and a special pair of shoes. What kind of a whacked-out hobby is Beverly involved in which creates such an obsession for her each year?
Answer: Beverly enters the Great Alaskan Iditarod Race each year with her 16 Husky mushing dogs. Each competitor must carry a sleeping bag, an axe, and a pair of snow shoes. Of course, being on her sled at the back of her dog team, she has no choice but to see the rear ends of her dog team.
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:
Two players, A and B, play an unequal game. There are n points on the game board. In each turn, Player A targets a pair of dots and Player B says whether those two dots are connected or not. A can only target each pair once and the game ends when all pairs are targeted. Player B wins if there is a point connected to all other points in the last turn, and player A wins if any point is connected to all other points in any turn except the last point or if no point is connected to all other points after that. The last turn. What n values do any of the players have for a winning strategy?
Answer: The riddle "A puzzling mystery! " is unanswered. Do you know the answer? If so, click ANSWER and add your answer in the comments section.
Riddle:
A pig lives on a pig farm, a cow lives on a cow farm, a sheep lives on a sheep farm, and a chicken lives on a chicken farm. Where do horses live?
Riddle:
Hey baseball fans, here’s an unusual game. See if you can figure out how this combination of events happened. A regular nine-inning baseball game ended with a score of two to nothing. During the game, there was one home run, a double, and 10 singles. During all these three events there was only one out. There were two walks. There were no double or triple plays. At the end of each team’s at-bat, there was no man left on base. There were no stolen bases, or pickoffs, and nobody was caught stealing. There were no errors of any type. How could this be?
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