According to a center for disease control, the probability that a randomly selected person has hearing problems is 0.1530.153. The probability that a randomly selected person has vision problems is 0.0830.083. 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?
(A) No, because hearing problems and vision problems are events that are too similar to one another.
(B) 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.
(C) Yes, because this is an application of the Addition Rule for Disjoint Events.
(D) Yes, because hearing and vision are two different senses, and therefore, they are two unique problems.
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