Help needed with dependent event probablity question

[Incitatus89]

Dear Forumites,

First time poster so take it easy on me!

I've stubled upon a question that my pea-sized brain cannot answer. This is not uncommon for a man of my (lack of) intelligence, but it's killing me to not know the answer! Any help massively appreciated.

I have determined a basic method which predicts the chances of Player A beating Player B in golf competition. However when the competition becomes 3-way I don't know how to calculate the chances of Player A beating Players B and C given the events are dependent.

For example:

Player A beats Player B 70% of the time.
Player A beats Player C 60% of the time.

What are the chances of A emerging victorious?

Clearly the events are dependent, if A beats C than it is highly likely that he will have beaten B also. But how likely?

Sorry if this question and example is awfully worded. I could have asked it in a sports forum but this requires a math brain me thinks!

Cheers! :-)

 

[Incitatus89]

Just realized I've probably fallen foul of the sticky. Apologies.

Mods - Please move if necessary.

Cheers.