Two students make the data analysis in a bank. Student A makes the analysis of 60% of bank accounts, and student B makes the analysis of the rest 40% of bank accounts. Student A makes a mistake in 1%
of cases, while the student B in 2% of cases.
(a) There was a mistake in a randomly selected bank account. What is the probability that this
account was analyses by the student A?
(b) There was no mistake in a randomly selected bank account. What is the probability that this
account was analyses by the student A?