Using it's concept, the probabilities are given as follows:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
P(S|B) is the probability that a person is a smoker given that the person is black. Among 174 black people, 12 are smokers, hence the probability is given by:
P(S|B) = 12/174 = 0.0690 = 6.90%.
P(S and W) is the probability that a person is smoker and white. Among 1000 people, there are 255 white smokers, hence the probability is given by:
P(S and W) = 255/1000 = 0.255 = 25.5%.
P(N and B) is the probability that a person does not smoke and is black. Among 1000 people, there are 162 black non-smokers, hence the probability is given by:
P(N and B) = 162/1000 = 0.162 = 16.2%.
More can be learned about probabilities at https://brainly.com/question/14398287
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