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"A" Riddles - Next 10 of 4615.

Riddle: Why did the eagle not fly over the sea?
Answer: Because if it flew over the sea it will be a seagull.
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: Spelled forwards is a type of rodent that you might find in drains, spelled backward is something that you cannot touch but see it everyday at night. What is this word?
Answer: Rats, star.
Riddle: I have four digits, I own a lot of cash money money, I'm kept a secret, but used on the daily. What am I?
Answer: Pin number.
Riddle: A rock group with four members, Each of whom are dead; But people still come to see us, Though an album was never released. What am I?
Answer: Mt. Rushmore
Riddle: Terry had been driving for nearly an hour when he encountered a backup of several cars which were all waiting to pass through a tunnel. He was listening to the weather report on his car's radio while awaiting his turn when he heard that a severe mixture of snow and rain accompanied by flash flooding and powerful winds were expected to strike the area within minutes. Terry dreaded this type of dangerous winter driving, so he wanted to get home quickly. As he paid the required fee to pass through the tunnel, Terry could only think about the weather report and the severe driving conditions predicted. Suddenly, a downpour of water, followed by a curtain of liquid white covered Terry's car. He did not use his windshield wipers though, and in fact, he removed both hands from the steering wheel just as another downpour of water blasted his car. A few seconds later, a second deluge of water crashed down on his car, followed by a mighty wind. At that point, Terry again grasped the steering wheel and regained control of the car. After these events, Terry was able to drive home safely. Did Terry panic during this encounter by not using his windshield wipers and removing his hands from the steering wheel, or is Terry a better driver than these events indicate?
Answer: The tunnel Terry went through was a car wash. A driver is always supposed to take his hands off the steering wheel and avoid using windshield wipers when the car is passing through the soap, water, and powerful drying wind at the end.
Riddle: I have a single waving hand I'm present in places across the land On fairer days, I depart I shorten with a broken heart. What am I?
Answer: A flag.
Riddle: In this place, people lie, people cry, and people ask why. In this place, people sleep, people weep, and people's solitude, they keep. What is it?
Answer: "Graveyard" or "Cemetery" - Reasoning: Both "people lie" and "people sleep" are indications of many people using this place to lie down, or to sleep, which in itself is an odd thought. Crying and weeping indicate that this is a sad place, and the continued use of "people" allows this to mean not just those who are lying down or sleeping, but those who come to visit them there, (i.e. mourners). People come to ask the person grave why they did what they did that resulted in their death, as a form of mourning, or to ask their chosen God or Gods why they took that person to their grave. And peoples solitude refers to people sleeping on their own, or the mourners usually coming the mourn privately.
Riddle: What do you call Santa when he stops moving?
Answer: Santa Pause.
Riddle: A man dies of old age on his 25th birthday. How is this possible?
Answer: He was born on February 29.