SOLUTION: A sample of 75 people yielded the following information about their health insurance. 33 people with a managed care plan 27 with traditional insurance 15 with no insurance

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Question 1206351: A sample of 75 people yielded the following information about their health insurance.
33 people with a managed care plan
27 with traditional insurance
15 with no insurance
2 people who provided information for the table were randomly selected, without replacement. Determine the probability that:
They both had a managed care plan.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
sample size is 75 people.
33 out of the 75 had a managed care plan.

first person selected has 33/75 probability of having a managed care plan.

assuming the first person had a managed care plan, the second person selected has 32/74 probability of having a managed care plan.

the probability that both had a managed care plan is 33/75 * 32/74 = 1056 / 5550.

this simplifies to 176 / 925.

as a decimal, that would be .19027 rounded to 5 decimal places.