Two soldiers, t and j, are trying to shoot a target sequentially. suppose that in each trial, the probability of t (or j) hitting the target is 5/6 (or 4/5). the game ends only if the target is hit. we observe the outcome (i. e., hit or miss) in each trial. (hint: introduce — probability that player wins the game if he moves first, for ∈ { }) (a) if t shoots first, what’s the probability of soldier t winning the game? (b) if t shoots first, what’s the probability of soldier j winning the game? (c) if j shoots first, what’s the probability of soldier t winning the game? (d) if j shoots first, what’s the probability of soldier j winning the game?