The potential customers of a given shopping mall can come from one of four area codes:A,B, C, and D with respective probabilities of 0.08, 0.15, 0.49, and 0.28. The probability that a customer buys something is: 0.06, 0.03, 0.02, or 0.04, given that they came from A,B,C or D, respectively. If you know that a customer bought something, what is the probability that they came from area code A.

Fig: 1