2. Bhim and Joe play each other at badminton and for each game, independently of all others, the probability that Bhim loses is 0.2
Find the probability that, in 9 games, Bhim loses
- exactly 3 of the games,
- fewer than half of the games.
Bhim attends coaching sessions for 2 months. After completing the coaching, the probability that he loses each game, independently of all others, is 0.05
Bhim and Joe agree to play a further 60 games.
- Calculate the mean and variance for the number of these 60 games that Bhim loses.
- Using a suitable approximation calculate the probability that Bhim loses more than 4 games.