A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 7% chance of returning $4,000,000 profit, a 23% chance of returning $1,500,000 profit, and a 70% chance of losing the million dollars. The second company, a hardware company, has a 8% chance of returning $4,000,000 profit, a 26% chance of returning $1,500,000 profit, and a 66% chance of losing the million dollars. The third company, a biotech firm, has a 8% chance of returning $8,000,000 profit, a 21% of no profit or loss, and a 71% chance of losing the million dollars. Order the expected values from smallest to largest. O first, second, third second, third, first O third, second, first second, first, third third, first, second O first, third, second

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### Probability Assessment for Investment Opportunities

A venture capitalist, looking to invest $1,000,000, has three options to consider. Let's analyze each investment choice in terms of its potential returns and associated probabilities:

1. **Investment in a Software Company:**
   - 7% chance of returning $4,000,000 profit.
   - 23% chance of returning $1,500,000 profit.
   - 70% chance of losing the million dollars.

2. **Investment in a Hardware Company:**
   - 8% chance of returning $4,000,000 profit.
   - 26% chance of returning $1,500,000 profit.
   - 66% chance of losing the million dollars.

3. **Investment in a Biotech Firm:**
   - 8% chance of returning $8,000,000 profit.
   - 21% chance of no profit or loss.
   - 71% chance of losing the million dollars.

### Order the Expected Values

Calculate the expected values for each investment to determine their attractiveness. Then, order these values from smallest to largest:

- [ ] first, second, third
- [ ] second, third, first
- [ ] third, second, first
- [ ] second, first, third
- [ ] third, first, second
- [ ] first, third, second

This exercise is intended to help you understand risk assessment and decision-making based on probability and expected return.
Transcribed Image Text:### Probability Assessment for Investment Opportunities A venture capitalist, looking to invest $1,000,000, has three options to consider. Let's analyze each investment choice in terms of its potential returns and associated probabilities: 1. **Investment in a Software Company:** - 7% chance of returning $4,000,000 profit. - 23% chance of returning $1,500,000 profit. - 70% chance of losing the million dollars. 2. **Investment in a Hardware Company:** - 8% chance of returning $4,000,000 profit. - 26% chance of returning $1,500,000 profit. - 66% chance of losing the million dollars. 3. **Investment in a Biotech Firm:** - 8% chance of returning $8,000,000 profit. - 21% chance of no profit or loss. - 71% chance of losing the million dollars. ### Order the Expected Values Calculate the expected values for each investment to determine their attractiveness. Then, order these values from smallest to largest: - [ ] first, second, third - [ ] second, third, first - [ ] third, second, first - [ ] second, first, third - [ ] third, first, second - [ ] first, third, second This exercise is intended to help you understand risk assessment and decision-making based on probability and expected return.
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