SOLUTION: The probabilities are 0.90, 0.80 that a family randomly chosen as part of a sample survey in a large city owns a flat screen television or a computer. what is the probability that
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Question 1200546: The probabilities are 0.90, 0.80 that a family randomly chosen as part of a sample survey in a large city owns a flat screen television or a computer. what is the probability that a family in this area own one or the other? Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13200) (Show Source):
The wording of the problem could be improved. "... own one or the other" could mean ONLY one of the two; or it could mean one or the other or both.
I will assume the meaning is the latter.
The opposite (complement) of "owning one or the other" is NOT owning either one -- that is, NOT owning a flat screen TV AND NOT owning a computer. The probability of that happening is (1-0.90)(1-0.80) = (0.10)(0.20) = 0.02; so the probability that they own one or the other is 1-0.02 = 0.98.