[Careercup] 7.1 Basketball Shooting game Shooting games

7.1 You has a basketball hoop and someone says so you can play one of the games.
Game 1:you get one shot to make the hoop.
The Game 2:you get three shots and you had to make the three shots.
If p is the probability of making a particular shot, for which values of p should do pick one game or the other?

This problem put forward two kinds of shooting game, you can choose one, the first is to cast a basket, the second is to cast three times in two can, now give the shooting ratio of p, ask P value and choose which game relationship.

This question is typical of my big celestial high school mathematics in the probability question, at that time to do the question can be more difficult than this. For Game1, only one basket, then the winning probability is P, for Game2, to win the case there are two, one is 3 full hit, the probability is P3, the other is hit two balls, three balls selected two cases have 3, then hit rate is 3P2 (1-p), then we first ask Game1 The case of >game2, p > 3p2 (1-p), is followed by P < 0.5, and when p = 0, 0.5 or 1, both sides are equal. So the conclusion is that when the hit rate is less than 0.5, choose Game1, when the hit rate is 0, 0.5 or 1 o'clock, whichever is chosen.

[Careercup] 7.1 Basketball Shooting game Shooting games