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malia collected information about whether the members of the 36 househo…

Question

malia collected information about whether the members of the 36 households on her block subscribed to cable
television and home phone services. her results are shown in the table below.

if a household on malias block is selected at random and does subscribe to cable television, what is the
probability the members of the household also subscribe to home phone service?

Explanation:

Step1: <Find total subscribers to cable>

Total subscribers to cable = \(14 + 12=26\)

Step2: <Find subscribers to both cable and home phone>

Subscribers to both = \(14\)

Step3: <Calculate probability>

Probability \(P=\frac{\text{Subscribers to both}}{\text{Total subscribers to cable}}=\frac{14}{26}\)

Answer:

\(\frac{14}{26}\)