13
votes
3answers
3k views

The Best Strategy and Highest Possible Score for the “Threes!” Game.

[There's still the strategy to go. A suitably robust argument that establishes what is statistically the best strategy will be accepted.] Here's my description of the game: There's a $4\times 4$ ...
2
votes
1answer
99 views

Very tricky probability

I just came by this "easy" question but i am abit worried, ill tell you why. ...
4
votes
1answer
78 views

Analysis of “Dungeon Raid”

The computer game Dungeon Raid is quite complicated, but for our purposes we can consider the following simplified version. The player has a current health $\def\hcur{h}\hcur$ and a maximum health ...
2
votes
3answers
144 views

The game of hand cricket.

(If you could add a more suitable title, I'd be very grateful to you) My friend gave me this question: In the game of hand-cricket (hand baseball, if you like it :D) two players $X$ - the batsman ...
2
votes
2answers
194 views

Probabilities associated with negatively marked questions

First of all: not a native english speaker, and not a mathematician. Please explain as you would to your 10 years old son. I have 120 questions to answer True or False For each right answer, i ...
10
votes
3answers
763 views

What is the Probability that a Knight stays on chessboard after N hops?

Say a $8 \times 8$ chessboard as per picture. A position is represented here by co-ordinates $(x,y)$. A move is aslo considered as valid, where the Knight lands outside the chessboard [ For eg. ...
0
votes
0answers
127 views

Annoying the entire world

Okay, so I had this conversation with a friend: [7時41分48秒] Me: INTERESTING CALCULATION TIME (y)` [7時41分55秒] Me: if everybody who is annoyed [7時42分01秒] Friend: lol [7時42分01秒] Me: ...
1
vote
0answers
39 views

maximising the frequency of mode.

I have 4 numbers 5,5,3,1. Now I have the number 5, which I can distribute in any manner to ...
7
votes
2answers
274 views

Mean and Median in a Classic River Crossing Problem

Consider the following classic problem: Four people on the west side of a river wish to use their single boat to get to the east side of a river. Each boat ride can hold at most two people, and the ...
0
votes
1answer
64 views

What are the chances of having certain cards on certain turns if you draw one card each turn?

You have a sixty-card deck. It has: 3 Aa and 3 Ab cards (6 A cards) 4 B cards 4 C cards 4 Da and 2 Db cards (6 D cards) 14 Ea and 10 Eb cards (24 E cards) At the begining of the game, you draw 7 ...
0
votes
2answers
228 views

Given a victory condition and a set strategy, what are the chances of winning on a given turn in a game of Magic: The Gathering?

Tl;DR: You have winning cards. To win, you must be able to play those cards, and have them in your hand. Your hand is randomly drawn. When might you win? How could find the answer to this (very ...
0
votes
1answer
78 views

Game statistics: Extracting interesting patterns out of users and level

I made a small game and in course of time collected fair amount of data between users and level The level chart is long (120 levels) but looks somewhat like this $$ \begin{array}{|c|c|} ...
1
vote
2answers
507 views

Determining odds in Blackjack?

How do you determine the different odds in Blackjack? For example, what would be the difference in odds from using 1, 2, or 3 decks? Also, what would be the difference in odds if you shuffle the deck ...
5
votes
4answers
1k views

Question about basic strategy in Blackjack

I was watching Beating Blackjack with Andy Bloch where he runs through the basic strategy charts that outline the best strategy with playing the game. Later he also talks about the methodologies to ...
0
votes
1answer
573 views

Units of Hamming, and Euclidean distance

This is just a simple doubt I wanted to clear. I'm calculating the Hamming and Euclidean distance between two columns in a matrix, where each column is storing time information in seconds of when a ...