Gudjon.Smith
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- Nov 23, 2020
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In a Best of Five card game Player A is playing against Player B. First Player to win 3 sets wins the game. The probability that player A wins a set is 80%.
1)Calculate the probability that player A wins the game.
2)Calculate the probability that player B wins the game.
Comments:
The second part of the exercise is easy. It's 1-(probability of A winning the game). The problem is that I'm struggling with the first part of the exercise. First I thought I had to use a simple negative binomial distribution function. But the problem here is that there are 3 different cases I have to consider: Player A winning 3 sets in a row; Player A winning 3 sets and losing 1; Player A winning 3 sets and losing 2. Therefore the negative binomial distribution function doesn't help me to solve this problem. Any suggestions?
Unless I'm overthinking this and all I need is to use the negative binomial distribution after all. I just want to be sure.
1)Calculate the probability that player A wins the game.
2)Calculate the probability that player B wins the game.
Comments:
The second part of the exercise is easy. It's 1-(probability of A winning the game). The problem is that I'm struggling with the first part of the exercise. First I thought I had to use a simple negative binomial distribution function. But the problem here is that there are 3 different cases I have to consider: Player A winning 3 sets in a row; Player A winning 3 sets and losing 1; Player A winning 3 sets and losing 2. Therefore the negative binomial distribution function doesn't help me to solve this problem. Any suggestions?
Unless I'm overthinking this and all I need is to use the negative binomial distribution after all. I just want to be sure.
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