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Another one

All of you must have come across probability, in your life and tasted its intriguing dimensions.
Now I have a question for you. Consider you have an interval of [0,1] and you randomly chose a real number from in there. Considering that all the numbers are equally likely to be chosen, what is the probability that a rational number will be chosen?

Regards,
Prof. Nirman Ganguly
Faculty,
Dept. of Mathematics,
Heritage Institute of Technology,
Kolkata.

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