Problem: You have a jar of marbles, and you are asked to pick two marbles at random without replacement. The jar contains an infinite number of marbles, half of which are red and half of which are blue. Each marble is labeled with a real number chosen at random from the interval [0, 1], where the probability of selecting any specific number is equal.
What is the probability that the sum of the two numbers on the marbles you pick is an irrational number?
(Note: A number is considered irrational if it cannot be expressed as the ratio of two integers.)
Create a problem where the sum of the two numbers is an irrational number.
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