In a game, two players A and B shoot a target (both to the same target). Suppose that shooters are independent and the probability of (successful) shooting to target is relatively, pA and pB. If A shoots the target (successfully) before B, how much is it probable that A is the starter of the game?
PS. would you please first give your opinion about the appropriate approach and why you choose that?
non-frequentist approaches like Bayesian solutions, or other things!