Ayase chooses three numbers a, b, c independently and uniformly from the interval [-1,1]. The probability that 0<a+b<a<a+b+c can be expressed in the form \frac{p}{q}, where p and q are relatively prime positive integers. What is p+q?
Ayase chooses three numbers a, b, c independently and uniformly from the interval [-1,1]. The probability that 0<a+b<a<a+b+c can be expressed in the form \frac{p}{q}, where p and q are relatively prime positive integers. What is p+q?