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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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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