# What is the probability that a number chosen between 1 and 10 is rational?

Does a subset of $R$ contain equal number of rational and irrational numbers? How to prove?

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Your title doesn't match your body. Which question do you mean to ask? –  Chris Eagle Jan 4 '13 at 13:50
I thought the probabilty must be 1/2. I am asking whether it is. –  Swapnanil Saha Jan 4 '13 at 13:51
That's the title of your question, but not the body of your question. –  Thomas Andrews Jan 4 '13 at 14:00