12 Anika and Beth are playing a game which consists of several points.
- The probability that Anika will win any point is 0.7 .
- The probability that Beth will win any point is 0.3 .
- The outcome of each point is independent of the outcome of every other point.
The first player to win two points wins the game.
- Write down the probability that the game consists of more than three points.
- Complete the probability tree diagram in the Printed Answer Booklet showing all the possibilities for the game.
- Determine the probability that Beth wins the game.
- Determine the probability that the game consists of exactly three points.
- Given that Beth wins the game, determine the probability that the game consists of exactly three points.