SOLUTION: 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 competiti
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Question 1201095: 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) Answer by ikleyn(52835) (Show Source):
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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
