You have a basketball hoop and someone says that you can play 1 of 2 games.

Game #1: You get one shot to make the hoop.

Game #2: You get three shots and you have to make 2 of 3 shots.

If p is the probability of making a particular shot, for which values of p should you pick one game or the other?

**My initial thoughts (Solution):**

For game #1, you have probability l of winning. For game #2, you can either make 2 shots of 3, with probability , or make all of the three shots, with probability . Therefore, to choose game #1, you need to have: , which gives us .

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