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A player of a video game is confronted with a series of 3 opponents and a(n)...

A player of a video game is confronted with a series of 3 opponents and a(n) 81% probability of defeating each opponent. Assume that the results from opponents are independent (and that when the player is defeated by an opponent the game ends).

Round your answers to 4 decimal places.

(a) What is the probability that a player defeats all 3 opponents in a game?

(b) What is the probability that a player defeats at least 2 opponents in a game?

(c) If the game is played 2 times, what is the probability that the player defeats all 3 opponents at least once?

Math   Statistics-And-Probability   
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