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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?

Respuesta :

Answer: The probability that  a particular top executive reads either time or US news and world report regularly is 0.65

Explanation: Let's say TM represents Time Magazine, NS represents Newsweek, and UW represents U.S news & World report.

Probability of TM readers (P.TM) = 0.35

Probability of UW readers (P.UW) = 0.40

Probability of both TM and UW readers (P.TM ∩ P.UW) = 0.10

Probability of both TM or UW readers (P.TM ∪ P.UW) = ?

Given the probability equation of:

(P.TM ∪ P.UW) = (P.TM) + (P.UW) - (P.TM ∩ P.UW)

= 0.35 + 0.40 - 0.10

= 0.65

Therefore the probability that  a particular top executive reads either time or US news and world report regularly is 0.65