13 Andy and Bev are playing a game.
- The game consists of three points.
- On each point, \(\mathrm { P } (\) Andy wins \() = 0.4\) and \(\mathrm { P } (\) Bev wins \() = 0.6\).
- If one player wins two consecutive points, then they win the game, otherwise neither player wins.
- Determine the probability of the following events.
- Andy wins the game.
- Neither player wins the game.
Andy and Bev now decide to play a match which consists of a series of games.
- In each game, if a player wins the game then they win the match.
- If neither player wins the game then the players play another game.
- Determine the probability that Andy wins the match.