by nsguy1350 » Sun Mar 24, 2013 5:31 pm
Let the probability that Betty wins a game be [unparseable or potentially dangerous latex formula], and that Willie wins, [unparseable or potentially dangerous latex formula]. Since there are no ties (assumed), it is obvious that [unparseable or potentially dangerous latex formula]. Since [unparseable or potentially dangerous latex formula] we can solve for [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] and get [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula] (this is also easily done mentally.) The probability that Willie wins twice is [unparseable or potentially dangerous latex formula] and the probability that Betty wins twice is [unparseable or potentially dangerous latex formula]. The probability that either one wins twice is [unparseable or potentially dangerous latex formula]
2013 District 1/Region:
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)