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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

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?

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