Question: Three athletes, competing in the shot put event at a track and field competition, throw the ball (called the shot) as far as they are
Three athletes, competing in the shot put event at a track and field competition, throw the ball (called the "shot") as far as they are able. The athletes have relatively similar strengths, so assume that the distances they throw the ball are independently, uniformly distributed random variables on the interval [16.5, 19.5], and measured in meters. What is the probability that at least two of the three throws exceed 17 meters?
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