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"Hat" Riddles - Next 10 of 3491.

Spot Me If You Can

I'm easy to spot and can be hard to get rid of. On some things I'm a nuisance, and on others I'm the main attraction. On those same things it's proper to remove me and on others it's cruel to take me. What am I?

Answer: A Spot.

Bizzare Order

A man goes into a diner. The man orders a plate, a match, a lemon wedge, and a glass of water. The waiter comes back with the mans bizzare order. The man dumps the water on the plate, and leaves the lemon wedge and match aside. "If you can get the water into the glass without touching the plate , I will give you $100." says the man. The waiter walked out $100 richer that night, how? (Hint : The $100 wasnt in tips.)

Answer: The riddle "Bizzare Order" is unanswered. Do you know the answer? If so, click and add your answer in the comments section.

Three Moves Pile Of Matches Riddle

Place three piles of matches on a table, one with 11 matches, the second with 7, and the third with 6. You are to move matches so that each pile holds 8 matches. You may add to any pile only as many matches as it already contains. All the matches must come from one other pile. For example, if a pile holds 6 matches, you may add 6 to it, no more or less. You have three moves. How can you do it?

Answer: First pile to second; second to third; third to first:

Pile	Initial number	First move	Second move	Third move
First	11	11-7=4	4	4+4=8
Second	7	7+7=14	14-6=8	8
Third	6	6	6+6=12	12-4=8

Make Sure To Bee Attentive!

If a bee lands in the palm of your hand, what is in your eye?

Answer: Beauty, because beauty is in the eye of the bee-holder!

The Card 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.)

Such A Slim Little Stripe In A Shiny, Round Coat How It Grows In The Warm Sun’s Bright Rays

Such a slim little stripe in a shiny, round coat! How it grows in the warm sun's bright rays! But its jacket still fits, and it's worthy of note That it isn't so, tall on cool days. Hint: It's not a fishing pole.

Answer: A Thermometer.