During the year, Mark and John play a total of n games of golf. The probability that John wins any game is 0.3. No games are drawn.
(a) If the probability that John wins no games is 0.0576 (correct to four decimal places), find the total number of games played.
(b) How many games would need to be played to ensure the probability that John wins at least two games is more than 0.99?
(a) If the probability that John wins no games is 0.0576 (correct to four decimal places), find the total number of games played.
(b) How many games would need to be played to ensure the probability that John wins at least two games is more than 0.99?