The local barber shop is home to three barbers. the barbers appear identical but vary in their ability to provide good haircuts. denote the event that you receive a good haircut by g, the event that you do not receive a good haircut by ng, and the event that your hair is cut by barber i by bi , where i ∈ {1, 2, 3}. the probability that any particular barber cuts your hair is 1/3. the probability that you receive a good haircut from barber 1 is 1. the probability that you receive a good haircut from barber 2 is 1/2. the probability that you receive a good haircut from barber 3 is x, where x lies in the interval [0, 1]. using the bayes theorem calculate the probability that your hair is cut by barber 1 given that you received a good hair cut.