Answer:
her expected gain is $45,000.
Explanation:
If she wins
She will make = $400,000
Probability of winning = 0.3
Expected income = $400,000 x 0.3 = $120,000
Cost on the cash = $75,000
Expected gain = Expected income - Cost = $120,000 - $75,000 = $45,000
If she loses the case she has to bear the cost incurred to prepare the case. So, the probability on the cost side is 1 but probability on the income side is 0.3 so we calculated the 0.3 probable income which is $120,000 after deducting the cost the lawyer will have expected gain of $45,000 only.