1. You have a bag of enough ping pong balls such that each one has exactly one of the numbers from 57 to 133 painted on it.What is the probability that if you randomly select five of the balls from the bag all of the numbers on the selected balls will be divisible by 3 or by 7?
2. Two integers are relatively prime if, and only if, their greatest common divisor is 1.For example, 2 and 3 are relatively prime, 1 and 1 are relatively prime, but 2 and 2 are not. You toss two dice, one blue and one gray.What is the probability that when the dice stop rolling that the pip count on the blue die is relatively prime to the pip count on the gray die?