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Riddle of the week

Crovax

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You arrive at the beautiful Three Geysers National Park. You read a placard explaining that the three eponymous geysers — creatively named A, B and C — erupt at intervals of precisely two hours, four hours and six hours, respectively. However, you just got there, so you have no idea how the three eruptions are staggered. Assuming they each started erupting at some independently random point in history, what are the probabilities that A, B and C, respectively, will be the first to erupt after your arrival?

Which Geyser Gushes First? | FiveThirtyEight

This is an interesting one, ill have to give it some thought not even sure how to tackle it yet.
 
100%. After I've had two or three beers, I'll move the naming placards to match the eruptions in the proper order and get thrown out of the park.
 
Which Geyser Gushes First? | FiveThirtyEight

This is an interesting one, ill have to give it some thought not even sure how to tackle it yet.

A will erupt 12 times in a day, b will erupt 6 times in a day, and c will erupt 4 times in a day, for a total of 22 eruptions in a day.


A will erupt next 12/22 times nets , or 54.545454 of the time. Be will erupt 6/22 times next, or and C will erupt next 4/22 times
 
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