Asked by Christina
estimate the probability that a patient has health insurance, if 59% of Americans have private insurance and 25% have government insurance.
Estimate the probability that it is private insurance
Is this P(A and B) = P(A) x P(B)
Estimate the probability that it is private insurance
Is this P(A and B) = P(A) x P(B)
Answers
Answered by
MathMate
P(A and B) represents the probability that both events A and B occurring.
Physically, it means that a person has both private and government insurance, which is unlikely.
The probability of having any insurance is the sum of the two probabilities, i.e.
P(A or B) = P(A) + P(B) - P(A and B)
Assuming anyone having one insurance does not have the other (mutually exclusive), then P(A and B) equals zero, and the result is reduced to
P(A or B) = P(A) + P(B) when A and B are mutually exclusive.
Physically, it means that a person has both private and government insurance, which is unlikely.
The probability of having any insurance is the sum of the two probabilities, i.e.
P(A or B) = P(A) + P(B) - P(A and B)
Assuming anyone having one insurance does not have the other (mutually exclusive), then P(A and B) equals zero, and the result is reduced to
P(A or B) = P(A) + P(B) when A and B are mutually exclusive.
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