Question $1.$ Mergers and Acquisition Analysis $[12]$

A healthcare company $NORTHERN$ CARE$is$ considering expanding its operations $by$ acquiring one $of$ two firms: Firm $A,$ a pharmaceutical research company, $or$ Firm $B,$ a medical device manufacturer. The company wants $to$ ensure that the acquisition will generate a positive return. Analysts have estimated that there $isa60\%$ chance that the company will acquire Firm $A,$ and $if$ they $do,$ there $isan72\%$ chance that the acquisition will succeed $(i.e.,$ generate positive returns$).$ According $to$ the market research there $is64\%$ that the acquisition will succeed $if$ the company acquire Firm $B.$

Using the given information about the acquisitions possibilities:

Find the probability that the company$s$ acquisition will generate a positive return. $[2]$