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the probability of attending a conference is 0.5, and the probability of attending a workshop is 0.3. if 40% of conference attendees also attend workshops, what is the probability that a student attends a workshop given that they attended a conference?
Asked by ms9876tr | 28 Apr, 2024, 12:05: PM
Expert Answer
Probability of attending the conference , p(c) = 0.5
Probability of non attending the conference , p(nc) = 1 - p(c) = 0.5
Probability of attending the workshop, p(w) = 0.3
If 40% of conference attendees attend workshop, then
Probability of attending the workshop by conference attendee , p(w/c) = 0.5 × 0.4 = 0.2
Probability of attending the workshop by students not attending conference , p(w/nc) = 0.5 × 0.3 = 0.15
probability p(c/w) that a student attends a workshop given that he attended a conference is
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