Multiple Sources At Different Frequencies (Probability)

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SUMMARY

The discussion centers on calculating the probability that outputs from two sources, A and B, are synchronized at different frequencies. Source A produces outputs every 100 milliseconds, while Source B outputs every 250 milliseconds. The conclusion reached is that the probability of source A being ahead of source B at any given time is 0.1. This finding suggests a straightforward relationship between the output intervals of the two sources.

PREREQUISITES
  • Understanding of basic probability theory
  • Familiarity with time intervals and synchronization concepts
  • Knowledge of event-driven systems
  • Ability to perform calculations involving time-based events
NEXT STEPS
  • Research advanced probability concepts in event synchronization
  • Explore Markov processes for modeling state transitions
  • Learn about Poisson processes and their applications in event timing
  • Investigate statistical methods for analyzing time series data
USEFUL FOR

This discussion is beneficial for statisticians, data analysts, and software engineers working with event-driven architectures who need to understand synchronization and probability in time-based systems.

rollypollybear
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Hi

My prob theory is rusty and I am a little embarrassed I can't figure this one out - but:

If we have two sources A and B that are producing an output at different frequencies - say A produces outputs every 100ms and B produces an output every 250ms .. Obviously even if they are perfectly synced, A may be ahead of B at certain times (by up to 50ms)...I am trying to calculate the probability that an event from A will be more recent than B at any point in time

Can someone help me out with some pointers on this?

Cheers
 
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OK I did some scenarios on paper and it looks like the solution is stupidly simple - the probability of source A running at 250ms intervals being ahead of source B running at 100ms intervals is 0.1 ... I don't know if anyone knows how to prove this more elegantly though..
 

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