Questions tagged [strategy]

A puzzle whose solution is a methodological plan of action for realizing a specific goal.

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13
votes
3answers
544 views

Strategy to beat the Casino reversed

Let's consider Strategy to beat the Casino puzzle, but reverse it - fix number of losses and ask a question about amount of rounds: Two players, A and B, and the Casino play a game. The game ...
-4
votes
1answer
258 views

What did the Wise Man Say? [duplicate]

An Arab sheik is old and must will his fortune to one of his two sons. He makes a proposition. His two sons will ride their camels in a race, and whichever camel crosses the finish line LAST will win ...
5
votes
3answers
268 views

Crazy queen in checkers

Checkers Checkers, also called draughts, is an interesting game. all pieces are placed on black tile and are all pawns at the start. When a pawn reach the final line, a powerful piece is created: the ...
18
votes
4answers
3k views

A Tic-Tac-Toe type game

I found this interesting game with no name: You have a 1x11 grid, like this. The way you play is similar to Tic-Tac-Toe (aka Noughts and Crosses). Players take turns to place Xs and Os on the grid, ...
4
votes
2answers
257 views

How many nodes in the network?

I don't actually have a solution in mind for these, but it seemed puzzly enough to bring to the table. Seems as though someone must have come up with this before, but if so, I couldn't find it when I ...
5
votes
3answers
1k views

Hacking an electronic keypad v2

This is related to Hacking an electronic keypad. You are a spy trying to break into an enemy facility. The back door is protected by an electronic keypad lock. You know that this particular lock is ...
5
votes
2answers
723 views

How much money can we make? v2

This is follow up question to How much money can we make? My five friends and I used to loan each other money all the time. But over the past several years we have moved apart. We don't trust ...
11
votes
1answer
2k views

General strategies for solving metal disentanglement puzzles

(When I talk about metal disentanglement puzzles, I have in mind Hanayama and Tavern puzzles.) As opposed to twisty puzzles - which I can approach by playing with commutators and conjugates as a way ...
2
votes
5answers
555 views

Word game - possible to play all words?

You're trapped in a chamber and the only way out is to beat the chamber guardian on his own game: Word88. Both of you each take a turn to play a word. You can play one of the following: Add Play - ...
17
votes
10answers
1k views

Communicating Information about Cards

Seven cards, numbered $1,2,3,4,5,6,7$, are distributed randomly among three people: Rand gets one of them, Deusovi gets three of them, and Gareth gets three of them. All three know what the seven ...
15
votes
2answers
2k views

10 prisoners and 10 lists of numbers [duplicate]

10 prisoners are held captive by a cruel warden. One day he gathers them in the prison hall and tells them about a new game he wants to play: "Tomorrow, I will assign each one of you a random ...
8
votes
4answers
2k views

The Greedy Box (Or: Another crazy guard offering his prisoners freedom)

Two prisoners, in separate cells, are watched over by one eccentric and whimsical guard. One day he (inevitably) decides to give the prisoners a chance to earn their freedom by playing a game with ...
5
votes
1answer
337 views

Another Secret Polynomial

Alice: Let's play a game, Bob! Bob: (sighing) What is it this time? Alice: I'm thinking of a polynomial $P$ with integer co-efficients. For any integer $n$, you can ask me what $P(n)$ is. Then, if,...
8
votes
3answers
411 views

Gettings most jewels in a square 5x5

Playing an online game I came across a small puzzle (a mini-game in game). The game is about getting jewels in a row - a player needs to get 5 in a row / column or a 5-square-diagonal. Let me show you ...
7
votes
2answers
435 views

99 chips into more chips V2

This is follow up question of 99 chips into more chips, which is originally: You are at a casino in Vegas and you have earned 99 chips by playing poker! While you are checking out a slot ...
8
votes
1answer
2k views

99 chips into more chips

You are at a casino in Vegas and you have earned 99 chips by playing poker! While you are checking out a slot machine, someone comes to you and congratulates you that you have a chance to make more ...
6
votes
3answers
384 views

The Alchemist's brew

I'm an Alchemist and I want to prepare Universal Panacea. That's a precious thing and I will be able to sell it for good money. The complete recipe for the Panacea is of course very complex (and ...
40
votes
7answers
5k views

Amnesiac in a ring shaped palace

Related: Turn off all lights in a ring-shaped palace Your boss has trapped you inside a ring-shaped palace, and all you know about the palace is that there are some number* of identical rooms, each ...
7
votes
1answer
788 views

A Strategy Game Involving Conquering of Regions

This is a game that I saw in a book long ago. Unfortunately I cannot find the book now, and even if I can as I recall it does not provide a strategy. I will be very grateful if you can provide me a ...
6
votes
1answer
255 views

Magic: the Gathering – The end of time

Thanks to NeedAName and his latest Magic: the Gathering Challenge I actually noticed there is a magic-the-gathering tag. It was quite some time ago that I played Magic the last time, but nevertheless ...
2
votes
1answer
169 views

Taming a Bomb Puzzle (Part 3 of 3)

The part 1 can be found here: Taming a Bomb Puzzle (Part 1 of 3) The part 2 can be found here: Taming a Bomb Puzzle (Part 2 of 3) The Mechanics Ampera Bridge, the famous landmark of Palembang City ...
2
votes
1answer
147 views

Taming a Bomb Puzzle (Part 2 of 3)

The part 1 can be found here: Taming a Bomb Puzzle (Part 1 of 3) The Mechanics Ampera Bridge, the famous landmark of Palembang City is in danger! A terrorist has sticked a bomb in the middle of ...
7
votes
2answers
313 views

Taming a Bomb Puzzle (Part 1 of 3)

The Mechanics Ampera Bridge, the famous landmark of Palembang City is in danger! A terrorist has sticked a bomb in the middle of Ampera Bridge. The bomb cannot be removed and it can explode anytime. ...
5
votes
3answers
487 views

“Alien Love” Puzzle

There is a group of 10 aliens and each alien is either male or female. You don't know how many male or female aliens are in the group, but you know that exactly one of them is a "hybrid" male alien. ...
4
votes
1answer
342 views

Fake and genuine coins

There are 14 coins, numerated from 1 to 14, and presented as an evidence at the court. The first 7 are fake coins, and others are genuine coins. Fake coins have all the same weight and they are ...
3
votes
2answers
182 views

How the best card can I choose?

Me and Varun playing a game of cards (standard deck of 52 cards). In which we distributed 5 cards to each other. Edit: We have seen each other's cards. We have to put the cards in a line one by one ...
5
votes
3answers
1k views

Strategy for Modified Lights out

A friend of mine showed me a variation of lights out that they were interested in, and asked me if it would be possible to solve any given empty grid. This variation involves toggling not just the ...
13
votes
1answer
502 views

Hiding Cat Puzzle on a Grid

The Youtube channel MindYourDecisions posted a video about the "Hiding Cat Puzzle". In the puzzle, you have a line of five boxes, one of which contains a cat. You don't know where the cat is, and your ...
1
vote
2answers
275 views

The Monster and the Chessboard [duplicate]

You have a standard checkerboard with 64 squares and a coin in each square, randomly facing heads or tails up. There is an evil monster in the room with you and he arbitrarily selects some square and ...
6
votes
3answers
374 views

Guessing game with infinity coin flips

Evan and Ollie are going to play a game as a team. The two friends placed in separate rooms, and then a coin is flipped infinitely many times*. Evan is told the results of the even numbered flips, ...
-3
votes
4answers
323 views

If 27 x 147 = 3969 What is its square root WITHOUT using complex / long calculationx [closed]

Basically what you have to do is find √3969 without using complex /long calculations
0
votes
1answer
82 views

Taking a ball from basket challenge [duplicate]

I have 10 red balls, 10 blue balls, and 2 baskets. You are free to choose the numbers of red balls, and the numbers of blue balls to put to the first basket. Then you have to put rest of the balls to ...
10
votes
7answers
1k views

Prisoners and minority voting

Disclaimer: this is a scenario that I came up with on my own, and I do not actually know if there is a possible solution. The reason for posting is to see if the combined intellect of PSE can help to ...
-3
votes
5answers
609 views

Murder mystery on 1st day of school [closed]

On the first day of school there has already been a murder! There are four suspects and here is their stories: The math teacher says he was giving a test to his students. The librarian was ...
18
votes
10answers
4k views

How to get voters to vote against themselves [closed]

On an island far away, there are people. They have an ancient law which states that anyone can propose a new law. However, new laws must be voted upon immediately after proposal (i.e there is no time ...
7
votes
4answers
658 views

Higher or lower?

The game “Higher or Lower” is a simple one in which playing cards are drawn randomly from a deck, and the player has to guess whether each subsequent card will be higher or lower in value than the ...
12
votes
5answers
779 views

More than equilibrium

Assume you have 2 identical metal cubes, the only difference being their temperatures $T_1 = 0 \, \text{°C}$, $T_2 = 100 \, \text{°C}$: The task is now to transfer as much heat as possible to the ...
6
votes
4answers
1k views

Filling the board with 0s and 1s

You are given a $9\times9$ grid board. You have 40 "$1$"s and 41 "$0$"s. You can put these numbers wherever you want on the board. After that, you will take the sum of the numbers in each row and ...
1
vote
1answer
199 views

Logic Coin Question [duplicate]

Please view comments to see how it is not a duplicate.... I am looking at it from a CPU perspective. If there are 23 coins that are on a screen, and there are two players and you get to pick if you ...
5
votes
4answers
491 views

Time traveler treasure Hunt

A time traveler is collecting treasures. He is using a space-time ship to transport between 5 different place-rooms. Each place has 1 precious treasure from the ancient times in each of 5 time zones. ...
8
votes
1answer
513 views

Picking A Number Game

Alice and Bob play a game starting from Alice where Alice and Bob are supposed to write a number to the board, Then the game goes through several rounds between Alice and Bob with the rules below: ...
56
votes
22answers
16k views

Can you open the bathroom door? [closed]

This happened to me in a rental apartment and I had to be creative to solve it. The geniuses who designed the bathroom managed to fit a drawer about a centimeter behind the door, and eventually what ...
6
votes
2answers
678 views

Crystal Maze totem pole puzzle

The UK game show "The Crystal Maze" features a puzzle based around a totem pole. The contestant has four different coloured blocks which can be stacked up to make a totem pole. The blocks may be ...
8
votes
4answers
3k views

Battleship Game with only one Aircraft Carrier

Two guys are playing regular battleship game with only one Aircraft Carrier, with dimensions $5\times1$. Their table is regular $10\times10$ Battleship game grid board. One guy places his Aircraft ...
5
votes
3answers
2k views

Guessing a number game with a twist

Most of us have come across the problem in which a player chooses a number within a range $1-n$ and we have to guess that number by asking minimum no. of questions. That can be done by binary search(...
1
vote
1answer
412 views

What is best strategy to multiple turn prisoners dilemma, when your opponents actions are hidden?

Best strategy for multiple turn prisoners dilemma is called tit for tat you start with cooperation and then repeat your opponents answer from previous turn. Is ...
9
votes
4answers
442 views

Number exchange game

Inigo and Vizzini are to have a battle of wits to the death. The rules are: Inigo is given two independent random numbers uniformly distributed between 0 and 1. Inigo chooses one of the numbers to ...
4
votes
2answers
2k views

When do missionaries and cannibals problems have solutions?

In the Missionaries and Cannibals problem: Three missionaries and three cannibals must cross a river using a boat which can carry at most two people, under the constraint that, for both banks, ...
1
vote
0answers
248 views

Can a group of professors determine their average salary without learning any information about each other's? [duplicate]

A group of at least 5 jealous professors are locked in a room. There is nothing else in the room but pencils and one tiny scrap of paper per person. The professors want to determine their average (...
1
vote
1answer
173 views

Another Unconventional Dice Blackjack game - is Nash equilibrium here?

This question is similar to This Dice Blackjack game - is there Nash equilibrium?, but the game rules are completely different. This Dice Blackjack is game for two. It is also played with fair six-...