60% of the students in a study house approved biology and 70% approved mathematics. in addition, the percentage of students who passed biology having passed mathematics is 80%. if a student knows that they have approved biology, how likely are they to have also passed mathematics?

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?