单选题

Given the following table about employees of a company based on whether they are smokers or nonsmokers and whether or not they suffer from any allergies, what is the probability of being either a nonsmoker or not suffering from allergies?(     )

  Suffer from Allergies Don't Suffer from Allergies Total
Smoker 35 25 60
Nonsmoker 35 185 240
Total 90 210 300
【正确答案】 B
【答案解析】

The probability of being a nonsmoker is 240/300=0.80. The probability of not suffering from allergies is 210/300=0.70. The probability of being a nonsmoker and not suffering from allergies is 185/300=0.62. Since the question asks for the probability of being either a nonsmoker or not suffering from allergies we have to take the probability of being a nonsmoker plus the probability of not suffering from allergies and subtract the probability of being both: 0.80+0.70-0.62=0.88.
Alternatively: 1-P(Smoker & Allergies)=1-(35/300)=88.3%.