Given:
D be the event that a randomly chosen person has seen a dermatologist.
S be the event that a randomly chosen person has had surgery for skin cancer.
To find:
The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.
Solution:
Conditional probability: Probability of A given B is:
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Let D be the event that a randomly chosen person has seen a dermatologist.
Let S be the event that a randomly chosen person has had surgery for skin cancer.
Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).
Therefore, the correct option is D.