Probability that event A happens before event B?

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SUMMARY

The probability of one popsicle melting before the other is determined by their identical average melting time of 6 seconds. Given that both popsicles are stored under the same environmental conditions, the likelihood of the left-hand popsicle melting before the right-hand popsicle is 50%. Switching hands does not affect the probability, as the melting process is independent of their position.

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I have two popsicles in my hands. The average time it takes for popsicles stored at the same temperature as is the climate in the area I am in is 6 seconds. What is the probability that the one in my left hand will melt completely before the one in my right hand?
 
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If you switch hands, would the answer change?
 

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