EXAMPLE 71 In a drug study of a group of patients, 17% responded positively to compound A, 34% responded positively to compound B, and 8% responded positively to both. The probability that a patient responded positively to compound B given that he or she responded positively to A is P(B|A) = 0.08 P(ANB) P(A) 0.17 = = 0.47 4/17, 0.43, 0.57 73. In Example 71, a. What is the probability that a patient responds positively to compound A given that he or she responds positively to B? b. What is the probability that a patient responds positively to either compound A or compound B? c. What is the probability that a patient does not respond positively to either compound?

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