Calculate direct and inverse binomial probabilities for repeated games.

Evan likes to play two games of chance, \(A\) and \(B\). For game \(A\), the probability that Evan wins is \(0.9\). He plays game \(A\) seven times.

1. Find the probability that he wins exactly four games. For game \(B\), the probability that Evan wins is \(p\). He plays game \(B\) seven times.

   [2]

2. Write down an expression, in terms of \(p\), for the probability that he wins exactly four games.

   [2]

3. Hence, find the values of \(p\) such that the probability that he wins exactly four games is \(0.15\).

   [3]