Hasan is considering three carrier options: buy a fast-food franchise (FFF), open a bike repair shop (BR), or start a consulting firm (CF). He thinks the chance of him going with the FFF option is 40%, his chance with the BR option is 35% and his chance with the CF option is 25%. Hasan estimates that he has a 65% chance of earning $100,000 or more per year by 2030 with the FFF option, has a 60% chance with the BF option and has a 35% chance with option CF.

a) Suppose it is now 2030 and Hasan has realized his dream of earning $100, 000 or more per year. What is the chance that he chose a fast-food franchise as his carrier?