4 The probability that an expert darts player hits the bullseye on any throw is 0.12 , independently of any other throw. The player throws darts at the bullseye until she hits it.
- Find the probability that the player has to throw exactly six darts.
- Find the probability that the player has to throw more than six darts.
- (A) Find the mean number of darts that the player has to throw.
(B) Find the variance of the number of darts that the player has to throw.
The player continues to throw more darts at the bullseye after she has hit it for the first time. - Find the probability that the player hits the bullseye at least twice in the first ten throws.
- Find the probability that the player hits the bullseye for the second time on the tenth throw.