Question

in salem, 82% of the households have cable television and internet access and 90% of the houses have cable television. what is the probability that the house has internet access given that it has cable television?

Answer 1

This is a case of conditional probability because the probability of one event is dependent on the probability that the other has already occured. The formula for finding the probability of A given B is expressed as

P(AIB) = P(A and B)/P(B)

Let A = the event that the households have cable television

Let B = the event that the households have internet access

Thus,

P(A and B) = 82/100 = 0.82

P(A) = 90/100 = 0.9

Thus, the probability that the house has internet access given that it has cable television is

P(BIA) = P(A and B)/P(A) = 0.82/0.9

P(BIA) = 0.91

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