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Possible Outcomes of American Roulette

The payout for American roulette can be calculated by: payout = (38/n)-1 where n is the number of squares the bet covers. ...

1 year ago

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NCHOOSEK - Time Optimization

*Input* * *V* —— Set of all choices, a vector of N, 1 < N < 100 * *K* —— Number of selected choices, a scalar, 0 <= K <=...

1 year ago

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Minefield Sonar

*Background* In mine-hunting games (e.g. Microsoft Minesweeper), the user is provided with a covered grid that, upon a left c...

1 year ago

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(Linear) Recurrence Equations - Generalised Fibonacci-like sequences

This problem is inspired by problems <http://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci 2187>, <htt...

1 year ago

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Is X a Fibonacci Matrix?

In honor of Cleve's new blog and post: <http://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/> Is X a Fibonacci ...

1 year ago

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Fibonacci Decomposition

Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...

1 year ago

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How many Fibonacci numbers?

Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers. Example: x = [1 2 3 4...

1 year ago

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Triangle sequence

A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

1 year ago

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Project Euler: Problem 2, Sum of even Fibonacci

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

1 year ago

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Fibonacci-Sum of Squares

Given the Fibonacci sequence defined by the following recursive relation, * F(n) = F(n-1) + F(n-2) * where F(1) = 1 and F(1)...

1 year ago

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Fibonacci sequence

Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Inpu...

1 year ago

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What is the nth step in Conway's Life?

Based on <Problem 52. What is the next step in Conway's Life?> Generalize your solution to Problem 52 - Give the state of the...

1 year ago

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What is the next step in Conway's Life?

Given a matrix A that represents the state of <http://en.wikipedia.org/wiki/Conway's_Game_of_Life Conway's game of Life> at one ...

1 year ago

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Hamiltonian Cycle

This is related to the Travelling Salesman Problem <http://www.mathworks.com/matlabcentral/cody/problems/1339 1339> created by...

1 year ago

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The almost-birthday problem.

This is a harder version of the birthday problem. Now, you will have to determine the probability that two or more people in a r...

1 year ago

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Don't be mean. Be nice!

For this problem, you will be given a range of single digits R, and a separate number K. You job is to calculate the mean of al...

1 year ago

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Unique dice configurations

Given a number of dice N and the number of sides on each die S, write a MATLAB function that will output how many unique permuta...

1 year ago

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Does the coin touch the line?

If we throw a coin that has a diameter of d, its center will land in a grid n x m. What is the probability that the coin land...

1 year ago

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Histogram of histogram

Histogram of histogram (HoH) is a useful measure concerning the distribution of random data, which has diverse applications in d...

1 year ago

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Generating random matrix with given probability mass function

Inspired by <http://www.mathworks.com/matlabcentral/cody/problems/2356-simulating-the-selection-of-a-state-with-given-probabilit...

1 year ago

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If you prick us, do we not bleed?

While doing some quick sewing to fix up your child's Halloween costume, you accidentally jab your finger with the needle. Refle...

1 year ago

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Coin Tossing: Probability of Same Heads for N tosses

A pair of physicists toss a coin n times each. What is the probability that they tossed the same number of heads? *Input:*...

1 year ago

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Eliminate Outliers Using Interquartile Range

Given a vector with your "data" find the outliers and remove them. To determine whether data contains an outlier: # Identi...

1 year ago

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Coin change combinations.

Using only pennies (1), nickels (5), dimes (10), quarters (25), half dollars (50), and dollars (100), how many different combina...

1 year ago

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Test Driven Solution - Probability Problem 3

*Problem:* Without any Cody cheats, write code that passes the test suite. *Hint:* The test suite gets samples from the proba...

1 year ago

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Test Driven Solution - Probability Problem 2

*Problem:* Without any Cody cheats, write code that passes the test suite. *Hint:* The test suite gets samples from the proba...

1 year ago

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Test Driven Solution - Probability Problem 1

*Problem:* Without any Cody cheats, write code that passes the test suite. *Hint:* The test suite gets samples from the proba...

1 year ago

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Cumulative probability of finding an unlikely combination

This is a supplemental problem to the <http://www.mathworks.com/matlabcentral/cody/problems/621-cryptomath-addition CryptoMath> ...

1 year ago

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Guess the number I'm thinking of

In this game you are competing against two other people to guess the number that I'm thinking of. # I randomly choose an *i...

1 year ago

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Probability of red tulips (at both ends of a row)

I planted tulip bulbs in a row on my flower bed. I thought that I had planted white tulips all. However, later, it turned out t...

1 year ago