Question

A college graduate is applying for a job and has 3 interviews with google. she passes the first, second, and third interviews with probability 0.9, 0.8, and 0.7, respectively. if she fails any interview, she cannot continue with subsequent interview(s) and will not get the job. if she didn't get the job, what is the probability that she failed the second interview

Answer 1

The probability she failed the interview is: 1 - probability she passed the interview. P( failed 1st interview) = 1 - 0.9 = 0.1 P(failed 2nd interview) = 1 - 0.8 = 0.2. P(failed 3rd interview) = 1 - 0.7 = 0.3 So we have that if she didn't get the job, the probability that she failed the second interview is 0.2