Al and Bill each have two bullets. They fire alternately at a glass bottle.
Al has hitting probability 1313 and Bill 1414.
What is the probability that Al smashes the bottle if he is the one who fires the first shot?
(Note: Al can smash the bottle even if he misses with his first shot. To solve this problem you may find it helpful to draw a tree showing all the outcomes leading to the event that Al smashes the bottle.)