Problema Solution
A sample of 5959 people yielded the information about their health insurance in the given table.
Two people who provided information for the table were selected at​ random, without replacement. Find the probability that at least one has traditional insurance.
32 people = Managed care plan
22 people = Traditional insurance
5 people = No insurance
Answer provided by our tutors
We assume the sample contains 59 people.
P(at least 1 had traditional insurance) = 1 - P(none had traditional insurance)
P(none had traditional insurance) = ((32+5)/59) * ((32+5-1)/58)
P(at least 1 had traditional insurance) = 1 - ((32+5)/59) * ((32+5-1)/58)
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P(at least 1 had traditional insurance) = 0.610753945
The probability that at least one has traditional insurance is 0.610753945.