Persons A, B, C share a kitchen, and they are responsible for keeping it clean. Suppose after using it, person A will keep it clean 70% of the time, person B will keep it clean 65% of the time, and person C will keep it clean 80% of the time. Assume that the kitchen is occupied by person A 35% of the time, person B 20% of the time, and person C 45% of the time.The kitchen looks clean today. What is the probability it's used by person B? Round to 4 decimal places (Hint: Bayes Theorem)