Q:

According to a center for disease​ control, the probability that a randomly selected person has hearing problems is 0.157. The probability that a randomly selected person has vision problems is 0.096. Can we compute the probability of randomly selecting a person who has hearing problems or vision problems by adding these​ probabilities? Why or why​ not?

Accepted Solution

A:
According to a center for disease​ control. We can’t compute the probability. SOLUTION: Given that, According to a center for disease control,  The probability that a randomly selected person has hearing problems is 0.157.  The probability that a randomly selected person has vision problems is 0.096.  We have to find whether we can compute the probability of randomly selecting a person who has hearing problems or vision problems by adding these probabilities or not?   The answer is no, because hearing and vision problems are not mutually exclusive. So, some people have both hearing and vision problems. These people would be included twice in the probability. Hence, we can’t compute the probability.