​A movie producer has to decide to fund a new movie project.For this project,a success would earn $20 million and a failure would cost $60 million in lost profits. At what probability of expected success should he fund the movie?

A) ​0.20
B) 0.25
C) 0.50
D) ​0.75

The expected value of funding this project can be calculated as follows:
Expected Value = (Probability of Success x Potential Profit) - (Probability of Failure x Potential Loss)
Let x be the probability of success
Expected Value = (x * $20 million) - ((1-x) * $60 million)
Simplifying this expression:
Expected Value = 80x - 60
The producer should fund the movie only if the expected value is positive.
80x - 60 > 0
80x > 60
x > 0.75
Therefore, the producer should fund the movie if there's a probability of expected success greater than 0.75 or 75%.

Hence, the best choice is D) 0.75.