Daniil Dubov has a 30% chance of winning a professional chess tournament. a. In a year if there are 5 professional tournaments, what is the probability that only the last tournament will be won by Daniil Dubov? b. Among 14 tournaments, what is the probability that Daniil Dubov will win exactly 6 tournaments? c. If he has 10 tournaments scheduled for the next year, what is the probability that he will win at most 7 tournament(s)? [Answer in exact fraction, or rounded to at least 4 decimal places.]
Daniil Dubov has a 30% chance of winning a professional chess tournament. a. In a year if there are 5 professional tournaments, what is the probability that only the last tournament will be won by Daniil Dubov? b. Among 14 tournaments, what is the probability that Daniil Dubov will win exactly 6 tournaments? c. If he has 10 tournaments scheduled for the next year, what is the probability that he will win at most 7 tournament(s)? [Answer in exact fraction, or rounded to at least 4 decimal places.]
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Daniil Dubov has a 30% chance of winning a professional chess tournament.
a. In a year if there are 5 professional tournaments, what is the probability that only the last tournament will be won by Daniil Dubov?
b. Among 14 tournaments, what is the probability that Daniil Dubov will win exactly 6 tournaments?
c. If he has 10 tournaments scheduled for the next year, what is the probability that he will win at most 7 tournament(s)?
[Answer in exact fraction, or rounded to at least 4 decimal places.]
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