A person starting with 64 cents and making 6 bets, wins three times and loses three times, the wins and losses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:<spanclass=′latex−bold′>(A)</span>a loss of 27<spanclass=′latex−bold′>(B)</span>a gain of 27<spanclass=′latex−bold′>(C)</span>a loss of 37<spanclass=′latex−bold′>(D)</span>neither a gain nor a loss<spanclass=′latex−bold′>(E)</span>a gain or a loss depending upon the order in which the wins and losses occurNote: Due to the lack of LATEX packages, the numbers in the answer choices are in cents ¢