MathDB

10

Part of 2015 Math Prize for Girls Problems

Problems(1)

Math Prize 2015 Problem 10

Source:

9/22/2015
Among all pairs of real numbers (x,y)(x, y) such that sin⁡sin⁡x=sin⁡sin⁡y\sin \sin x = \sin \sin y with −10π≤x,y≤10π-10 \pi \le x, y \le 10 \pi, Oleg randomly selected a pair (X,Y)(X, Y). Compute the probability that X=YX = Y.