Question

NTD Consulting Partners conducted a survey of top executives that found that 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?

Answer 1

Step-by-step explanation:

To solve this question you have to use the Addition rule which represents the probability that two events take place separately or at the same time. Here we have 3 events (Magazines) each one with a probability:

P(Time)= 35%= 0.35

P(Newsweek)=20%=0.20

P(U.S. News & World Report) = 40% = 0.40

The problem also gives the probability of Times and U.S. News & World Report magazine together:

P(Times ∩ U.S. News & World Report) = 10% = 0.10

Then, to know the probability that a particular top executive reads either Time or U.S. News & World Report regularly we have to sum the probabilities of Time and U.S. News and subtract the probability of readers of both:

P(Times ∪ U.S. News & World Report) =

P(Times) + P(U.S. News & World Report) - P(Times ∩ U.S. News & World Report)

P(Times ∪ U.S. News & World Report) = 35% + 40% - 10%

P(Times ∪ U.S. News & World Report) = 65%