PLEASE HELP WITH THIS CONDITIONAL PROBABILITY QUESTION AND PLEAS COULD YOU SHOW A STEP BY STEP EXPLANATION.
Adam and Boris regularly play each other at chess and in 60% of their games each player is subject to ta time limit but only 30% of the games played without a time limit.
(a) Find the probability that Adam wins his next game of chess against Boris
(b) Given that Adam wins a game, find the probability that it was played with a time limit.