Two real numbers are chosen at random between 0 and 2. What is the probability that the sum of their squares is no more than 1? Express your answer as a common fraction in terms of pi.
+118608 Two real numbers are chosen at random between 0 and 2. What is the probability that the sum of their squares is no more than 1? Express your answer as a common fraction in terms of pi.
Sample space is represented by the area of the square, which is 4
The quadrant area includes all the favorable events. x^2+y^2<= 1 ARea is 1/4 * pi *1^1 = pi/4
Probability of a favourable event is pi/4 divided by 4 = pi/16
