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 |
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%.