Can You Solve The Three Erupting Geysers Riddle? (Amazon Interview Question)

Thanks to Brian Galebach who created and sent me this problem! You arrive at a park where geysers A, B, and C erupt at intervals of precisely 2, 4, and 6 hours, respectively. Each started erupting independently at a random time in history, unknown to you. What are the probabilities that each geyser (A, B, and C) will be the first to erupt after your arrival?

I also received an email this problem was asked during an interview for Amazon.

My blog post for this video
https://wp.me/p6aMk-7Y1

Source: Brian Galebach created the problem and gave permission for me to post it in a video. It was previously shared on Oliver Roeder's Riddler column on 538:
https://fivethirtyeight.com/features/which-geyser-gushes-first/ .
https://fivethirtyeight.com/features/how-long-will-your-smartphone-distract-you-from-family-dinner/#solution

This is a creative approach, but I personally felt it was hard to visualize and calculate the volumes. But it is neat:
http://advancedmathyoungstudents.com/blog/2015/12/24/3d-visualization-geometric-probability-and-538s-riddler-2/

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