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_distributionMathematica 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:
