Questions tagged [probability-theory]

Challenges which involve computing probabilities for random variables and stochastic processes.

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What an Odd Function

Your task here will be to implement a function1 that forms a permutation on the positive integers (A bijection from the positive integers onto themselves). This means that each positive integer ...
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1/N probability

Because there are not enough simple code-golf challenges: Create an optionally unnamed program or function that, given (by any means) an integer 1 ≤ N ≤ 10000, outputs your language's True value with ...
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973 views

Calculate probability of getting half as many heads as coin tosses.

Write a program that, given a small positive even integer from standard input, calculates the probability that flipping that many coins will result in half as many heads. For example, given 2 coins ...
• 693
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Calculate a probability exactly and quickly

[This is a partner question to Calculate a probability exactly ] This task is about writing code to compute a probability exactly and quickly. The output should be a precise probability written as a ...
3k views

Consider this ASCII version of a mechanism similar to a bean machine or plinko/pachinko game: O ^ \ ^ ^ ^ \ \ ^ / ^ U U U U U 1 2 3 4 5 The ...
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Extreme Whitewater Canoeing

You are paddling a canoe down a fairly fast whitewater river. Suddenly, your paddles explode, and you find yourself in a dangerous situation hurtling down a river rapid without any paddles. Luckily, ...
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Pick a random number between 0 and n using a constant source of randomness

Task Given a positive integer n less than 2^30 specified as input in any way you choose, your code should output a random ...
677 views

A lean, mean bean machine

A classic example to introduce people to the concept of a discrete probability distribution is the bean machine. This machine has a large amount of marbles fall from a narrow passageway at the top, ...
2k views

Frequency Distribution of Mixed Dice Rolls

A follow-up to this challenge Given a set of mixed dice, output the frequency distribution of rolling all of them and summing the rolled numbers on each die. For example, consider ...
2k views

Frequency Distribution of Multiple Dice Rolls

Given two positive integers a and b, output the frequency distribution of rolling a b-sided ...
936 views

Probabilities - how high can you go?

I previously asked a question for how to compute a probability quickly and accurately. However, evidently it was too easy as a closed form solution was given! Here is a more difficult version. This ...