Among the 30 applicants for a position at a credit union, some are married an so

Question

Among the 30 applicants for a position at a credit union, some are married an some are not, some have had experience in banking and some have not, with the exact breakdown being Married Single Some experience6 No experience 12 18 21 21 30 If the branch manager randomly chooses the applicant to be interviewed first, M denotes the event that the first applicant to be interviewed is married, and B denotes the event that the first applicant to be interviewed has had some experience in banking, express in words and also evaluate the following probabilities: P(M P(M n E), and P(EM).

Explanation / Answer

Answer:

P( married) =P( M) =18/30 = 0.6

P( married and Experienced) = P( M and E) =6/30 = 0.2

Probability of experienced given that they are married=

P(Experienced / married) = 6/18 = 0.3333

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