(a) The probability that a man wins a race is 0.8. In four different races, what is the probability that he wins : (i) all races ; (ii) no race ; (iii) at m...

(a) The probability that a man wins a race is 0.8. In four different races, what is the probability that he wins : (i) all races ; (ii) no race ; (iii) at most 3 races ?

(b) A class consists of 5 girls and 10 boys. If a committee of 5 is chosen at random from the class, find the probability that :

(i) 3 boys are selected ; (ii) at least one girl is selected.