Sam independently scores a goal on any attempt with probability 0.7.

(a) She makes 10 attempts. Find the probability that she scores on fewer than 8. [3]

(b) Find the probability that her first success is before her 5th attempt. [2]

(c) Wei independently scores with probability 0.6 per attempt and continues until he has scored 3 goals. Find the probability that his third goal is on his 7th attempt. [3]