AMC 12A 2012 #11
Posted: Fri Jun 15, 2012 9:40 pm
Alex, Mel, and Chelsea play a game that has [unparseable or potentially dangerous latex formula] rounds. In each round there is a single winner, and the outcomes of the rounds are independent. For each round the probability that Alex wins is [unparseable or potentially dangerous latex formula], and Mel is twice as likely to win as Chelsea. What is the probability that Alex wins three rounds, Mel wins two rounds, and Chelsea wins one round?