DIGITAL_DICE
Paul Nahin's "Digital Dice" MATLAB Scripts

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

Languages:

DIGITAL_DICE is available in a MATLAB version.

Related Data and Programs:

digital_dice_test

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

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?".

Reference

Paul Nahin,
Digital Dice: Computational Solutions to Practical Probability Problems,
Princeton, 2008,
ISBN: 978-0-691-15821-1.

Source Code:

• aandb.m, Parrondo's paradox;
• average.m, uses a Monte Carlo approach to estimate pi.
• boom.m, simulates the likelihood of a given number of sons in a family.
• broke.m, average number of flips til odd man out is lost.
• bus.m, estimates the waiting time, given that there are N bus lines.
• car.m, estimates probability I am my nearest neighbor's nearest neighbor.
• chess.m, compares two options for a chess tournament.
• committee.m, simulates the committee problem.
• deli.m, simulates the operation of a deli.
• dinner.m, simulates the dinner table label problem.
• dish.m, counts how often a single dishwasher breaks 4 out of 5 dishes.
• easywalk.m, exactly analyzes a walk from the corner of (M+1,M+1) to (1,1).
• election.m, models papal and imperial elections.
• estimate.m, estimates the number of runners in a marathon.
• fb.m, the forgetful burglar problem.
• floss.m, considers the dental floss problem.
• gameb.m, Game B of Parrondo's paradox.
• gs.m, the Gamow-Stern elevator problem.
• guess.m, estimates the average result of randomly guessing ranks of M items.
• jury.m, estimates the probability that an appeals court makes a mistake.
• kelvin.m, looks at Kelvin's fair results from a biased coin.
• malt.m, estimates the chances that Lil and Bill will meet at the malt shop.
• missing.m, simulates the missing senator problem.
• mono.m, computes the expected monotone length of a random sequence.
• obtuse.m, estimates the probability that a random triangle is obtuse.
• obtuse1.m, probability that three points in [0,1] define an obtuse triangle.
• offspring.m, randomly determines the number of sons born.
• optimal.m, simulates the dating problem.
• patrol.m, simulates the highway patrol car problem.
• pierror.m, estimates pi by counting random points in a square.
• rhs.m, histograms the random harmonic series.
• rolls.m, simulates the toilet paper problem.
• smoker.m, considers the two matchbook problem.
• smokerb.m, considers a second version of the two matchbook problem.
• spin.m, simulates a game involving two spinning disks.
• steve.m, Steve's elevator problem.
• stopping.m, analyzes an optimal stopping problem.
• sylvester_quadrilateral.m, estimates probability 4 random points form concave quadrilateral.
• test.m, simulates the result of guessing on a ranking test.
• timestamp.m, prints the YMDHMS date as a timestamp.
• umbrella.m, simulates the umbrella problem.
• walk.m, simulates a walk from the corner of (M+1,M+1) to (1,1).