A player of a video game is confronted with a series of 3 opponents and a(n) 77% 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 two 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?