Three balls are randomly and independently tossed into bins numbered with the positive integers so that for each ball, the probability that it is tossed into bin i is 2- for i = 1, 2, 3, .... More...

Extracted text: Three balls are randomly and independently tossed into bins numbered with the positive integers so that for each ball, the probability that it is tossed into bin i is 2- for i = 1, 2, 3, .... More than one ball is allowed in each bin. The probability that the where p and q are relatively prime positive integers. (For example, the balls are balls end up evenly spaced in distinct bins is evenly spaced if they are tossed into bins 3, 17, and 10.) What is p+q? (А) 55 (В) 56 (C) 57 (D) 58 E) 59