Multiple Sources At Different Frequencies (Probability)

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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..