Question

You are invested in two hedge funds. The probability that hedge fund Alpha generates positive returns in any given year is 60%. The probability that hedge fund Omega generates positive returns in any given year is 70%. Assume the returns are independent. What is the probability that both funds generate positive returns in a given year? What is the probability that both funds lose money?

Answer 1

42% and 12%

Step-by-step explanation:

The computation is shown below:

For Alpha Fund

Positive return = 60%

Lose money is

= 1 - 0.60

= 40%

For Omega Fund

Positive return = 70%

Lose money is

= 1 - 0.70

= 0.30

Also the returns are non-dependent

Now the positive return is

= 60% × 70

= 42%

And, the probability of lose money is

= 40% × 30%

= 12%