Question

100 people are interviewed, of which 35 are alcoholics, 28 active smokers and 5 have both conditions.

a) Construct a (Venn) diagram illustrating the situation described.

b) If one of these people is selected at random, what is the probability that he has at least one of the conditions?
NOTE: It is necessary to express the probability to be determined in set notation.

Rare Disease. A study that detects a rare disease in men and women lasting one year will be conducted in the US. Census data shows that 52% of the population is female, and previous studies have shown that each year approximately 0.3% of women develop this rare disease while 0.4% of men have it. What is the probability that a randomly chosen person has the rare disease during the study?

Answer 1