Consider the interval $[0,1]$. What is the probability that a number chosen at random in $[0,1]$ is transcendental?
Please give me some points on how to start this problem.
I realize this question is old but I wanted to give my explanation:
So the probability of picking a transcendental number on the unit interval is $1$. Measure of a subset of $[0,1]$ more or less translates to "probability".
Here is a point to start with: