AAI ATC Junior Executive 27 Jul 2022 Shift 2 Paper

The probability of three persons A, B and C becoming clerks of a certain administrative office are 3 ∶ 2 ∶ 4. The probabilities that incentive will be introduced if they become clerks are 0.4, 0.5 and 0.3, respectively. If the incentive has been introduced, then what is the probability that C is appointed as the clerk?