Probability that event A happens before event B?

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The discussion centers on calculating the probability of one popsicle melting before the other, given they are stored in the same temperature conditions. The average melting time for the popsicles is noted to be 6 seconds. Participants explore whether switching the popsicles between hands would affect the probability of one melting before the other. The conversation highlights the importance of identical conditions for both popsicles in determining the outcome. Ultimately, the melting probability remains unchanged regardless of hand 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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