You run a software company and hired a new salesperson. you offer $40,000 base salary. additionally, if the salesperson sells $500,000 worth of software she meets a gate that entitles her to a bonus of 2% commission on additional sales. your new salesperson sold $750,000 worth of software the first year.

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?