[SOLVED] Probability 3

Four people A, B, C and D are to play in a small table- tennis tournament played on a simple knock-out basis: their names are drawn at random to play in two pairs, then the two winners play in the final. The probability that a player beats a player with a later letter is 2/3. All matches are independent. Find the probabilities that:

1) A wins the tournament

2) C and D meet in the final

3) B and C meet at some stage

Help please :(

I think I have cracked this one so I don't need help any longer ;)