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John and Peter are playing tennis until someone wins n games.
It is known that in each game, Jonas wins with probability p.
What is the probability that the winner of the competition loses k games?
(p = 0.84, n = 3, k = 1)
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It is a standard problem to calculate the binomial distribution probability.
The number of trials n= 3; the number of wins is 2 (the number of losses is 1);
the probability to win each individual game is p= 0.84.
Use the standard formula of binomial distribution with given parameters
P = P(n=3; k=2; p=0.84) = = = 0.3387 (rounded). ANSWER
Solved.
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To see many other similar solved problems, look into the lessons
- Simple and simplest probability problems on Binomial distribution
- Typical binomial distribution probability problems
in this site.
Learn the entire subject from there.