<p>Block arrival times follow the Poisson Distribution with λ = 10 minutes. See <a href="https://stackoverflow.com/questions/1155539/how-do-i-generate-a-poisson-process">this SO question</a> on how to do it in pure python</p>

CC BY-SA 4.0
2021-10-31T15:05:16.330Z
...given constant network hashrate and that no one keeps their blocks to themselves
MCCCS
CC BY-SA 4.0
2021-10-31T12:40:45.403Z
2021-10-31T12:40:45.403Z
Mike D
<p>I would like to calculate profitability of various mining strategies. For that, i need to simulate many random mining intervals, that reflect probabilistic distribution of real block mining. What would be such formula that could use random number generator?</p>

<blockchain><mining-theory>
What function to use to model probabilistic bitcoin mining?
Jan
# What function to use to model probabilistic bitcoin mining?

(Asked by: username_0 on 2021-10-31)

I would like to calculate profitability of various mining strategies. For that, i need to simulate many random mining intervals, that reflect probabilistic distribution of real block mining. What would be such formula that could use random number generator?

**Tags:** blockchain, mining-theory


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## 1 answers

### Answer by username_1 on 2021-10-31. Score: 0

Block arrival times follow the Poisson Distribution with λ = 10 minutes. See [this SO question](https://stackoverflow.com/questions/1155539/how-do-i-generate-a-poisson-process) on how to do it in pure python

> **Comments:**
> **username_2**: ...given constant network hashrate and that no one keeps their blocks to themselves  

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