You battle three opponents one after the other, and if any one of them defeats you, you must restart and attempt again to defeat all three. You estimate that opponent 1 can be defeated with probability 4/5, opponent 2 with probability 3/5 and opponent 3 with probability 2/5. Find the expected number of attempts you need to make before winning. An attempt stops when you either defeat all three opponents, or lose to one opponent and have to restart.