A consumer products company found that $43\%$ of successful products also received favorable results from test market research, whereas $14\%$ had unfavorable results but nevertheless were successful. That is$,P($successful product and favorable test market$)=0\mathrm{.}43$ and $P($successful product and unfavorable test market$)=0\mathrm{.}14.$ They also found that $31\%$ of unsuccessful products had unfavorable research results, whereas $12\%$ of them had favorable research results, that is $P($unsuccessful product and unfavorable test market