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An investment manager at a venture capital (VC) firm is evaluating a decision to invest in two promising start-up companies focusing on fintech applications. The manager analyzes the following information:
For each company, there is a 30% probability of successfully launching a usable fintech application.
The success of one company in launching a usable fintech application is independent of the success of the other.
If either of the two companies is successful, the VC firm will generate USD 40 million in profit.
If both companies are successful, the VC firm will generate USD 70 million in profit.
If neither company is successful, the VC firm will incur a loss of USD 15 million.
What is the expected value of the VC firm's profit from investing in the two companies?
A
USD 6.30 million
B
USD 7.35 million
C
USD 15.75 million
D
USD 16.80 million