A broken clock moves the minute hand each minute randomly one minute ahead and one minute behind with equal probabilities. Each minute it does so independently of all other times it moved the minute hand.
The hour hand is on the other synchronized with the minute hand. The clock starts running at noon and let T denotes the first time that the clock shows either 1 o'clock or 11 o'clock, whatever happens first. Compute E(T).
I need some advice/suggestion on doing this problem.