Each one of three alarm clocks, A, B and C, will ring at some point. The alarm clock A will ring after exponential time with mean 30 minutes. The alarm clock B will ring after exponential time with mean 50 minutes, while the alarm clock C will ring after exponential time with mean 60 minutes. Is the probability that the alarm clock A rings first larger than 50% or not? Assume that the times until different clocks ring are independent random variables.

 

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