B = a senior citizen does not take any medicine The union of the events and at least one medicine” includes those senior citizens “male” “take who are either male or take at least one medicine or both. The number of such senior citizens is 140 + 210 95 = 255 – Example: In a group of 2500 persons, 1400 are female, 600 are vegetarian, and 400 are female and vegetarian. What is the probability that a randomly selected person from this group is a male or vegetarian? The probability of the union of two mutually exclusive events A and B is P(A or B) = P(A) + P(B) Example: A university president has proposed that all students must take a course in ethics as a requirement for graduation. Three hundred faculty members and students from this university were asked about their opinion on this issue. The following table, reproduced from Table 4.9 in Example 4-30, gives a two-way classification of the responses of these faculty members and students. What is the probability that a randomly selected person from 300 faculty members and students is in favor of the proposal or is neutral?
B = a senior citizen does not take any medicine The union of the events “male” and “take at least one medicine” includes those senior citizens who are either male or take at least one medicine or both. The number of such senior citizens is 140 + 210 – 95 = 255 Example: In a group of 2500 persons, 1400 are female, 600 are vegetarian, and 400 are female and vegetarian. What is the probability that a randomly selected person from this group is a male or vegetarian? The probability of the union of two mutually exclusive events A and B is P(A or B) = P(A) + P(B) Example: A university president has proposed that all students must take a course in ethics as a requirement for graduation. Three hundred faculty members and students from this university were asked about their opinion on this issue. The following table, reproduced from Table 4.9 in Example 4-30, gives a two-way classification of the responses of these faculty members and students. What is the probability that a randomly selected person from 300 faculty members and students is in favor of the proposal or is neutral?