1. Bruce shares a backyard with his best friend Deuce and they both have toys scattered around the grass.

Deuce is very into fetch and protective of his 7 tennis balls in the yard.

Bruce has 3 frisbees in the yard, for a total of 10 toys.

A) Bruce and Deuce invite their friends over to share their toys. At most, how many total dogs could be in the yard (including Bruce and Deuce) to guarantee that at least one dog gets at least two toys?

B) After the dog friends go home, it's just Bruce and his owner in the yard. Bruce plays a game by going out into the yard and retrieving one of the 10 toys at random. He retrieves a toy three times, without returning them to the yard. What is the probability that he grabs all three frisbees, given that the first toy he got was a frisbee