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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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?
Cristian
4.7117 Answers
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
-S
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 byP(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}
Let:
-
-
We are given:
-
-
-
The probability that an owner subscribes only to Netflix is given by
Therefore:
Therefore, the probability that an owner selected at random only subscribes to Netflix is
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