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Sometimes, probability questions can be interpreted geometrically, from simple examples like throwing darts to surprising applications like catching the bus!

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7 Sumo Wrestlers are eager to hop onto the merry-go-round. However, if they were to be contained within the same half of the merry-go-round, then their combined weight would cause the merry-go-round to topple.

If all 7 Sumo Wrestlers were to hop onto the merry-go-round at a random point along the circumference of the merry-go-round, what is the probability (to 3 decimal places) that the merry-go-round will topple?

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