Alexei is playing a game in which he throws darts at a target. when throwing a regular, unweighted dart, alexei has a 50% chance of hitting the target on each throw. however, the game is rigged, and so each time after he hits the target, for his next throw the host gives him a weighted dart that will hit the target with probability only 25%. (if he misses the target, the host will give him a regular dart for his next throw, and his first throw is with a regular dart.) if alexei throws a total of ten darts, find the expected number of times he hits the target as a decimal to the nearest hundredth.