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August 26, 2022

f 3 adults are randomly selected without replacement, find the probability that none of them develop symptom.

The following results from tests of an experiment to test the effectiveness of an experimental vaccine for adults (based on data from USA Today). Express all probabilities in decimal form.

	Developed Symptom	Did Not Develop Symptom
Vaccine Treatment	3655	7005
Placebo	4402	3040

(1) (12 points) If one adult is randomly selected, find the probability he or she was given vaccine treatment.

(2) (12 points) Find the probability of randomly selecting an adult and getting one who did not develop symptom given that the adult was given vaccine treatment.

(3) (12 points) Find the probability of randomly selecting an adult and who developed symptom given that the adult was given placebo.

(4) (12 points) If one of the adults is randomly selected, find the probability of getting an adult who was given vaccine treatment or developed symptom.

(5) (13 points) If 2 adults are randomly selected without replacement, find the probability that they both were given vaccine treatment.

(6) (13 points) If 2 adults are randomly selected with replacement, find the probability that they both developed symptoms.

(7) (13 points) If A represents the event of randomly selecting one adult included in the table and getting someone who was given vaccine treatment, what does represent? Find the value of P().

(8) (13 points) If 3 adults are randomly selected without replacement, find the probability that none of them develop symptom.

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