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10 June, 20:25

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?

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  1. 11 June, 00:21
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    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
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