SOLUTION: A sample of 39 people yielded the information about their health insurance in the given table. Two people who provided information for the table were selected at​ random, witho

Algebra ->  Probability-and-statistics -> SOLUTION: A sample of 39 people yielded the information about their health insurance in the given table. Two people who provided information for the table were selected at​ random, witho      Log On


   

Question 1198376: A sample of 39 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.
Number of People
Type of Insurance

19 Managed care plan
15 Traditional insurance
5 No insurance
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Number of People-----Type of Insurance
19---------------------- Managed care plan
15---------------------- Traditional insurance
5----------------------- No insurance
the sample contains 39 people.
P(at least 1 had traditional insurance) = 1+-+P(none had traditional insurance)
P(none had traditional insurance) = %28%2819%2B5%29%2F39%29+%2A+%28%2819%2B5-1%29%2F38%29+=92%2F247=0.3724696356275304
P(at least 1 had traditional insurance) =+1+-+0.3724696356275304=0.6275

The probability that at least one has traditional insurance is 0.6275