4. Alison and Gemma play table tennis. Alison starts by serving for the first five points. The probability that she wins a point when serving is \(p\).
- Show that the probability that Alison is ahead at the end of her five serves is given by
$$p ^ { 3 } \left( 6 p ^ { 2 } - 15 p + 10 \right) .$$
- Evaluate this probability when \(p = 0.6\).