# A large cable company reports the follwing: 80% of customers subscribe to cable TV service, 42% subscribe to Internet Service, 32% subscribe to telephone service, 25% of its  customers subscribe to both cable tv and internet service, 21% of its customers subscribe to both cable tv and phone service, 23% of its customers subscribe to both Internet and phone service, and 15% of its customers subscribe to all three services. What is P(cable TV only)?

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A large cable company reports the follwing: 80% of customers subscribe to cable TV service, 42% subscribe to Internet Service, 32% subscribe to telephone service, 25% of its  customers subscribe to both cable tv and internet service, 21% of its customers subscribe to both cable tv and phone service, 23% of its customers subscribe to both Internet and phone service, and 15% of its customers subscribe to all three services.

What is P(cable TV only)?

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Step 1

Consider A, B and C represent the proportion of customers who subscribe cable TV, internet service and phone service.

The probability of customers who subscribe cable TV service is P(A)=0.80

The probability of customers who subscribe internet service is P(B)=0.42

The probability of customers who subscribe telephone service is P(C)=0.32

The probability of customers who...

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