### Logic (2020)

Suppose you are visiting an island with knights who always tell the truth, knaves who always lie, and jokers who can do either.

What must the islander depicted above be?

# Truth-Seeking

There are many variants of truth-teller and liar puzzles in this exploration, including advanced challenges featuring further types of tricksters such as werewolves, jokers, and pirates.

There's even a later quiz that builds up to a challenge known as "the hardest logic puzzle ever"!

# Truth-Seeking

Suppose you are visiting an island with knights who always tell the truth, knaves who always lie, and jokers who can do either.

You meet three islanders named Ellis, Farin, and Gobi. They all know what the others are (a knight, knave, or joker) and make the following statements:

If exactly one of them is a joker, how many of them are knights?

# Truth-Seeking

There are $3$ boxes, exactly one of which contains gold. You can keep the gold if you pick the correct box! On each box there is a statement, exactly one of which is true.

Which box has the gold?

# Truth-Seeking

You have four closed boxes labeled as follows:

While you know all four types of food are inside and each box only contains one type of food, you also know that only one of the boxes is labeled correctly.

What's the minimum number of boxes that you need to open to be guaranteed to find out which one is labeled correctly? (Note: Guaranteed means in all possible scenarios, so you can't assume one that is lucky.)

# Truth-Seeking

In front of you are $3$ chests with some mixture of silver and gold coins, each with a label above it indicating how many coins of each are within:

You are told that all of the labels are incorrectly placed. Each label above a chest describes the contents of a different one of the three chests. To determine which chest contains $100$ gold coins, you are allowed to pick a single random coin from a chest of your choice.

Which chest should you pick a coin from?

Note: The picking of a single coin is just a sample to figure out where the $100$ gold coins are. The single coin is random, you don't get to look inside. Plus, the chest you choose to pick the coin from does not necessarily need to be the chest of $100$ gold coins. You're picking a chest first to determine which chest it is that has $100$ gold coins in it.

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