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Monty Hall's Other Problems

Now that so many Lab readers have brilliantly mastered the Monty Hall Problem discussed in my Findings column, I've got several new problems for you. (If you're not yet clear on the original one, you...

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The Psychology of Getting Suckered

The three problems posted yesterday involving Mr. Smith and Monty Hall confused some readers, but certainly not all. Mike Scott was the first to get all three answers correct; Harris gave a nicely...

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Mr. Smith's 3-Card Monty Problem

The Mr. Smith probability problem still seems to be confusing some Lab readers despite the explanation yesterday from Craig Fox. So let me offer a couple of variations of it, which were provided by...

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Mr. Smith's Gambling Problem

In what I hope is a final attempt to clear up the Mr. Smith probability problem, I've got another explanation and a new problem involving a coin, a die and $100. First, the explanation, from Craig Fox,...

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Is That a Fair Coin in Your Pocket?

I've got the answers to last week's Mr. Smith's gambling problem and Mr. Smith's 3-Card Monty problem, plus one new problem. The good news for this new one is that you don't need much expertise in...

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Happy Fairgoers, Worried Biologists

The skies opened Saturday over New York, but not even rain and lightning stopped the street fair at the World Science Festival. Where else could you see a band called "The Mathematicians" playing songs...

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A Beautiful Math

Nova's "Hunting the Hidden Dimension" tries to make modern mathematics comprehensible.

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A Prize for Solving Charlemagne's Puzzle

If you can solve a river-crossing puzzle that intrigued Emperor Charlemagne, you may have a shot a prize.

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Monday Puzzle: Moonlighting Triangles

For our first puzzle of the new year, here's a story about a pair of do-it-yourselfers, Penny and Roger, who have just finished tiling their poolside patio.

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Monday Puzzle: The Golden Ratio Treasure

Can you figure out exactly where the gold was buried?

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Monday Puzzle: Stashing Llamas

We've had a mountain puzzle about the one-L lama (who's a priest). Here's one about the two-L llama (who's a beast).

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Monday Puzzle: The Toiling Antomatons

"Avatar; poignantly reinforced a philosophical dilemma that I had first experienced many years ago while reading a science fiction story by the great Isaac Asimov, "That Thou Art Mindful of Him."

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Monday Puzzle: Back to the Future

How many unique day/date combinations are there in a typical year?

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Monday Puzzle: The Case of the Carnival Cups

Should Tom take the carnie's original offer at the 4 to 1 payoff ratio? Is Tom's reasoning about the average number of guesses correct?

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Monday Puzzle: Building Walls Rationally

Can you come up with a set of standard wall lengths that so that either family can build a house of the right proportion starting from any given standard wall? What is the smallest number of standard...

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