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Topic
Board Development & Technical Discussion
Merits 2 from 1 user
Re: What is the probability of a 40 min 6 block streak?
by
grau
on 24/08/2015, 20:36:15 UTC
⭐ Merited by ABCbits (2)
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.

From: https://en.wikipedia.org/wiki/Poisson_distribution

Mathematica says that: N[PDF[PoissonDistribution[4], 6]] is 10.4 % that is the prpbability of exactly 6 blocks per 40 min.
The probability of 6 or more blocks in 40 minutes is: 1 - N[CDF[PoissonDistribution[4], 6]] or 11%  1 - N[CDF[PoissonDistribution[4], 5]] or 21%

Below the plot of probabilty of n blocks per 40 min: