**An insurance company offers one of the following choices to each of their employees:**

(i) Take

(ii) Take no insurance but get a lump sum of money

The probability of having automobile insurance is 62.5%. The probability of having life insurance is 37.5%. The probability of having homeowners insurance is 25%. What is the probability of people who picked life insurance and homeowners insurance?

(i) Take

*exactly*two insurances(ii) Take no insurance but get a lump sum of money

The probability of having automobile insurance is 62.5%. The probability of having life insurance is 37.5%. The probability of having homeowners insurance is 25%. What is the probability of people who picked life insurance and homeowners insurance?

I got that the answer is 0, but the source says that the answer is 0.125 (by solving this using the law of total probability three times). Is there a typo?

Does anyone agree my answer of 0, or did I make a mistake?

I hope someone can confirm this. Thanks!

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