If I have a bag of black and white marbles, say 10 black and 10 white, I have a 50% chance of either getting black or white. What if the bag were infinite? Can one talk about probability when dealing with infinite sets?
I ask this question because I was reading a popular mathematics book and the author said that if one threw a dart at the number line, the odds of landing on a natural number were almost zero because the set of Uncountables was so much larger.