Problema Solution
Survey data indicate that 53% of customers at MegaHit video rental stores subscribe to premium movie channels through their cable television provider. The data also indicate that 33% of MegaHit customers own a DVD player, while 78% of MegaHit customers subscribe to premium movie channels or own a DVD player (or both). What is the probability that a randomly selected MegaHit customer both owns a DVD player and subscribes to premium movie channels?
Answer provided by our tutors
P(subscribe) = 0.53
P(dvd) = 0.33
P(subscribe OR dvd) = 0.78
P(subscribe OR dvd) = P(subscribe) + P(dvd) - P(subscribe AND dvd)
P(subscribe AND dvd) = P(subscribe) + P(dvd) - P(subscribe OR dvd)
P(subscribe AND dvd) = 0.53 + 0.33 - 0.78
P(subscribe AND dvd) = 0.10
The probability that randomly selected MegaHit customer both owns a DVD player and subscribes to premium movie channels is 0.10 or 10%.