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In a certain urban area, 60% of the owners subscribe to Netflix and 70% to Star+. 45% subscribe to both. If an owner is selected at random. What is the probability that it only has Netflix?

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Answer to a math question In a certain urban area, 60% of the owners subscribe to Netflix and 70% to Star+. 45% subscribe to both. If an owner is selected at random. What is the probability that it only has Netflix?

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Cristian
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To find the probability that an owner subscribes only to Netflix, we need to subtract the probability that an owner subscribes to both Netflix and Star+ from the probability that an owner subscribes to Netflix.

Let:
- N be the event that an owner subscribes to Netflix
- S be the event that an owner subscribes to Star+

We are given:
- P(N) = 0.60
- P(S) = 0.70
- P(N \cap S) = 0.45

The probability that an owner subscribes only to Netflix is given by P(N) - P(N \cap S) .

Therefore:
P(\text{Only Netflix}) = P(N) - P(N \cap S)
P(\text{Only Netflix}) = 0.60 - 0.45
P(\text{Only Netflix}) = 0.15

Therefore, the probability that an owner selected at random only subscribes to Netflix is \boxed{0.15} .

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