Driving instructors Mr. Adams and Mr. Bateman teach class independently of each other. Among Mr. Adams's students, 68% pass the driving test on the first try, while 74% of Mr. Bateman's students pass the driving test on
the first try. Suppose there are 40 students in Mr. Adams's class and 50 students in Mr. Bateman's class. Let A =
the proportion of students who pass the driving test on the first try from Mr. Adams's class and B = the proportion
of students who pass the driving test on the first try from Mr. Bateman's class. What is the probability that Mr.
Bateman's class has more students who pass on the first try?