A consumer products company found that

49%

of successful products also received favorable results from test market research, whereas

11%

had unfavorable results but nevertheless were successful. That is, P(successful product and favorable test

market)=0.49

and P(successful product and unfavorable test

market)=0.11.

They also found that

28%

of unsuccessful products had unfavorable research results, whereas

12%

of them had favorable research results, that is P(unsuccessful product and unfavorable test

market)=0.28

and P(unsuccessful product and favorable test

market)=0.12.

Find the probabilities of successful and unsuccessful products given known test market results, that is, P(successful product given favorable test market), P(successful product given unfavorable test market), P(unsuccessful product given favorable test market), and P(unsuccessful product given unfavorable test market).