Let x be a real number randomly chosen so that -1 <= x <= 1. What is the probability that x^2 > 1/2
x^2 > 1/2
x > sqrt (1/2) x < sqrt 1/2
sqrt .5 = .707
from .707 to 1 and from -1 to -.707 is a total of .58579 out of a span of 2 = .293 29.3 %