Suppose a game exists such that the stronger of the 2 players is 60% likely to win and the taller of the 2 is 70% likely to win. In this world, height and strength are completely independent of each other.
How likely is a player to win, if he is :
A) the stronger but shorter player ?
B) the taller AND stronger player ?
... and so on.
I am trying to figure out how the two factors will interact with each other. I am very interested in this question so I can prove a point in an argument. I tried to solve it on a whiteboard but nothing came to mind. I don't know how to google this kind of thing either, so could someone please help? Thanks!