A random study of the smoking habits of students showed the following results. Sex Non-Smoker


Question: A random study of the smoking habits of students showed the following results.

Sex Non-Smoker Regular Smoker Heavy Smoker Total
Man 140 27 6 173
Woman 187 20 12 219
Total 327 47 18 392


If a student is selected at random, find these probabilities.

a. The probability the student is a woman given that they are a heavy smoker.
b. Given that the student is male, the student is a non-smoker.
c. What is the probability that a person is female and is a regular smoker?
d. What is the probability that a student does not smoke?

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