You have two groups of friends where 6 of who you go play soccer with and 5 of

who you play tennis with. You want to invite 7 of your friends from these groups to a a baseball game.

Suppose that Amy, one of your soccer friends, will only attend if their best friend

Susan, one of your tennis friends, attends. Under these circumstances, what is the probability

that everyone will attend your movie night? You may assume that only Amy has a possible

conflict with attending.