7.1

Topic 7.1 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?

Game 1: p;

Game 2: C(2,3)p²(1-p)+p³ (不要漏了三个全进的情况)

Choose Game 1 if p>3 p²(1-p)+p³ 

à 0<p<0.5 Game 1;

   0.5<p<1 Game 2;