# Tag Info

Accepted

### Any fans of The Big Bang Theory?

The key to solving this question is noticing This is a hint to what the dartboard actually represents: So the scoring is given by
• 146k
Accepted

• 976
Accepted

• 1,536

### Making a 2n-digit number divisible by 9

I believe that Bob can win if (and only if) n is
• 8,560
Accepted

### Game of the glasses on the windowsill

Here is my evaluation: Conclusion And yet...
• 30k

### Making a 2n-digit number divisible by 9

I'll add on to SQLnoob's answer and say Bob can't win if n isn't So she chooses $$m = \begin{cases} 7-k & k < 7 \\ 1 & k = 7, 8 \end{cases}$$ For example,
• 9,184

### Any fans of The Big Bang Theory?

Howard's last dart doesn't land since he's realised that he's dreaming, given that lighting a fire indoors would be a breach of the Pasadena ordinance prohibiting the lighting of an uncontrolled fire ...
• 5,330
Accepted

### The game of 42: 10 cards to make 42

wins by Examples:
• 5,652

### The Kyiv Triangle Game

Alice has a winning strategy.
• 3,290

### Bigger number (sometimes) wins

Here is the phase diagram for the game, with player X being red and player Y being blue. Solid lines and shaded regions indicate that the respective player wins. The solid black line indicates a draw. ...
• 711

### Winning chance in coins game with fixing

This is not nearly as elegant as GoblinGuide's simple answer: https://puzzling.stackexchange.com/a/126192/1777 The probability of winning is always: Strategy: For any given N coins, there is: This ...
• 13.6k
Accepted

### The Kyiv Triangle Game

I only attempt to answer the puzzle by assuming that "triangle" means "small triangle". I started thinking about the problem before understanding how the others could see $27$ ...
• 206
Accepted

### Don't let 'em die!

Two weak bounds which can surely be improved. The hero can save at most Here's the villain's strategy to kill the rest: On the other hand, the hero can save at least by
• 26.8k
Accepted

### Bigger number (sometimes) wins

Assuming the opponent has access to our strategy beforehand and we want to provide a way to still ensure even odds, my first attempt was So instead, I tried generalizing: So the final strategy is: ...
• 552

### One vs many. Can white force a draw?

In figures (1a), (1b), (2a), and (2b), the white cells are empty and the red cells may or may not contain black pieces. The pattern continues in the obvious way out to the infinities. In figures (3a)...
• 306

• 4,704

### The game of 42: 10 cards to make 42

In complement to the very neat answer by Albert, I wanted to show the graph of the game (open in a separate tab, it is big): A state of the game is defined by the cards in stack 2, and is represented ...
• 547

### Pursuit-evasion game

First of all, how can the criminal even get caught? Can the cops arrange this scenario? How long does this take?
• 10.4k

### Pokemon battle puzzle: Chansey vs Wobbuffet

One detail that was missing from the question is what abilities both Pokémon have. Assuming standard abilities (i.e., Shadow Tag for Wobbuffet and Natural Cure or Serene Grace for Chansey), these do ...
• 552

• 8,977

### A question from Bob to Bob

Brief: Day 1: Bob shares with John a question about day 2 of a fact that John can physically control. John leaves the room. Day 2: Nothing/Something happens. Day 3: John enters the room. John read ...

### Press The Grue Button

The fastest way to achieve success is:
• 4,704
1 vote

### The Kyiv Triangle Game

I've played several games of this and found that, in my random assignments, Alice tends to win. While I haven't proven that this is the winning strategy, I have found a strategy that I have yet to ...
• 532
1 vote

### Prime Boggle Game

EDIT: I missed the requirement that primes must be unique. That invalidates this first grid. But the final solution should still be fine. The longest game I can find comprises 39 moves. This is ...
1 vote

### Press The Grue Button

The strategy that each worker adheres to:
• 938
1 vote

• 1,536
1 vote

• 2,102
1 vote
Accepted

### Zigzag nim game

As you suspected, the correct approach is to start from the end. First, let's invent a notation for the game positions. Let's view each position from the POV of the player whose turn it is, so that &...
• 77.4k

Only top scored, non community-wiki answers of a minimum length are eligible