Probability, Statistics, The Law of Large Numbers, … etc

 

The Law of large numbers states: Given a random variable with a finite expected value, if its values are repeatedly sampled, as the number of these observations increases, their mean will tend to approach and stay close to the expected value.

 

The Monty Hall Problem

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Other probability questions and answers
Poisson distribution
“In probability theory and statistics, the Poisson distribution (French pronunciation [pwasɔ̃]; in English usually /ˈpwɑːsɒn/), named after French mathematician Siméon Denis Poisson, is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since the last event.[1] The Poisson distribution can also be used for the number of events in other specified intervals such as distance, area or volume.”
“Examples
The Poisson distribution may be useful to model events such as
The number of meteors greater than 1 meter diameter that strike earth in a year
The number of occurrences of the DNA sequence “ACGT” in a gene
The number of patients arriving in an emergency room between 11 and 12 pm”
https://en.wikipedia.org/wiki/Poisson_distribution