A survey of top executives revealed that 35% of them regularly read Time magazine,20% read Newsweek,and 40% read U.S. News & World Report. A total of 10% read both Time and U.S. News & World Report. What is the probability that a particular top executive reads either Time or U.S. News & World Report regularly?
A)0.85
B)0.06
C)1.00
D)0.65

Question

Quizplus · Accepted Answer

To find the probability that a particular top executive reads either Time or U.S. News & World Report regularly, we need to add the probabilities of reading Time or U.S. News & World Report, and subtract the probability of reading both magazines (to avoid double-counting).

P(Time or U.S. News) = P(Time) + P(U.S. News) - P(Time and U.S. News)

P(Time or U.S. News) = 0.35 + 0.40 - 0.10

P(Time or U.S. News) = 0.65

Therefore, the probability that a particular top executive reads either Time or U.S. News & World Report regularly is 0.65, which corresponds to choice D.

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