One ball on a Plinko board is unpredictable. Drop a thousand and they form a near-perfect bell curve—one of math’s most powerful ideas for 150+ years.

A variation of a puzzle called the “pick-up sticks problem” asks the following question: If I have some number of sticks with random lengths between 0 and 1, what are the chances that no three of ...

David Kindness is a Certified Public Accountant (CPA) and an expert in the fields of financial accounting, corporate and individual tax planning and preparation, and investing and retirement planning.

Abstract: The Poisson-binomial probability density function (pdf) describes the numbers of successes in N independent trials, when the individual probabilities of success vary across trials. Its use ...

The problem Litt posted was: 'Suppose you have a urn containing 100 balls, n of which are red and 100-n are green, where n is uniformly distributed between 0 and 100. You randomly draw a ball from the ...

The binomial probability is a widely-used concept in statistics, helping to answer questions about the likelihood of certain outcomes in an experiment or real-life situation. Essentially, it measures ...

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Learn about an important method for valuing derivatives and other assets Gordon Scott has been an active investor and technical analyst or 20+ years. He is a Chartered Market Technician (CMT). Timothy ...

Abstract: Predictive maintenance scheduling of modular-multilevel-converters (MMCs) requires estimations of the failure probabilities of MMCs during a period of time in the future. Particularly, the ...