Alab is trying to determine if a new medication is effective at reducing acne breakouts. the results are displayed in the venn diagram below in the attachment:
what is the probability that the person's skin cleared up given that they used the medication?
a. 10%
b. 20%
c. 30%
d. 60%

D. 60%

Step-by-step explanation:

Let A = Event that person's skin cleared up

B= Event that person used the medication.

T be the total number of persons in this experiment.

From the Venn diagram , we have

n(A ∩ B) = 30

n (only A) = 10 and n(only B)=20

so , n(A)=n (only A) +n(A ∩ B) =10+30=40

n(B)=n(only B)+n(A ∩ B) =20+30=50

Now, the probability that the person's skin cleared up given that they used the medication :-

In percent , P(A|B)=60%

Hence, the probability that the person's skin cleared up given that they used the medication = 60%

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step-by-step explanation: