Paul Nahin's "Dueling Idiots" MATLAB Scripts

**DUELING_IDIOTS**,
a MATLAB library which
contains the scripts used to illustrate Paul Nahin's "Dueling Idiots".

**DUELING_IDIOTS** is available in
a MATLAB version.

DIGITAL_DICE, a MATLAB library which contains the scripts used to illustrate Paul Nahin's "Digital Dice".

WILL_YOU_BE_ALIVE, a MATLAB library which contains the scripts used to illustrate Paul Nahin's "Will You Be Alive 10 Years From Now?".

Paul Nahin,

Dueling Idiots and Other Probability Puzzlers,

Princeton, 2012,

ISBN: 978-0691155005.

- ash.m, a special case of CHESS using P = Q = 1/3.
- balls.m, simulates a problem involving numbered balls in an urn.
- baseball.m, models a baseball season.
- biased.m, plays odd-man-out with a biased coin.
- binomial.m, computes the binomial coefficient N-choose-K.
- brownian.m, models a Brownian walk in two dimensions.
- bulb.m, analyzes the light bulb problem.
- casino.m, simulates the game "Chuck-a-Luck".
- cc.m, computes the correlation between elements of a random vector.
- chess.m, simulates an N-game chess tournament.
- correlation.m, plots the scatter diagram of (X(I), X(I+J)).
- cpm.m, executes the Critical Path Method.
- esim.m, estimates E by a binning process.
- flycircle.m, models two flies landing at random points in the unit circle.
- flysquare.m, simulates two flies landing at random in the unit square.
- gas.m, simulates the diffusion of a gas.
- generator.m, plots a histogram of 100,000 random values.
- idiots1.m, simulates a Russian Roulette style duel.
- idiots2.m, simulates a duel in which the N-th turn involves N shots.
- kids.m, simulates a family planning problem.
- markov.m, follows a Markov chain process.
- match.m, computes the probablity of a coin flipping match.
- monty.m, simulates the Let's Make a Deal puzzle.
- needle.m, studies a needle dropped onto a table.
- normal.m, displays a histogram of 100,000 normal random numbers.
- odd.m, simulates the game of odd man out.
- onedwalk.m, models a random walk in one dimension.
- onewaytodoit.m, shows how to generate normal random values.
- onion.m, randomly slices the unit interval.
- paradox.m, looks at the average lifetime of a complex system.
- paths.m, estimates the length of the average walk across a square.
- pert.m, implements the Critical Path Method for a randomized problem.
- pisim.m, estimates PI by sampling points in a square.
- radar.m, analyzes the problem of radar detection and identification.
- randomsum.m, carries out a process that estimates E.
- spider.m, simulates a spider's random walk on a 2D web.
- stirling1.m, compares the logarithms of n! and Stirling's approximation.
- stirling2.m, compares n! to Stirling's approximation.
- stirling3.m, compares n! and Stirling's approximation.
- theory.m, plots the theoretical distribution for the PATHS problem.
- thief.m, simulates the Thief of Baghdad problem.
- timestamp.m, prints the YMDHMS date as a timestamp.
- tub.m, optimizes the allocation of search boats for the Unsinkable Tub.
- underdog1.m, estimates the chances of an underdog winning the World Series.
- underdog2.m, estimates the duration of a World Series.
- xplusy.m, creates a histogram of the sum of N random variables.
- xpowery.m, plots the PDF of X^Y.
- xyhisto.m, makes a histogram of X^Y.
- z.m, uses a histogram to approximate the distribution of X/(X-Y).