A survey of 85 households asked if they subscribed to the streaming services provided by Netflix (set \(N\)), Apple TV (set \(A\)), and Stan (set \(S\)).
The survey found that 17 households had no subscription and that \(n(N)=42, n(A)=35, n(S)=28\).
The survey also found
\(n(N \cap A)=18, n(N \cap S)=15, n(A \cap S)=12\) and \(n(N \cap A \cap S)=8\)
- Complete the Venn diagram below to accurately describe the information given. (2 marks)
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- A household is chosen randomly and is found to subscribe to Apple TV. What is the probability the household also subscribes to Stan? (2 marks)
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Show Answers Only
a.
b. \(P(S \mid A)=\dfrac{12}{35}\)
Show Worked Solution
a.
b. \(n(A)=35, n(A \cap S)=12\)
\(P(S \mid A)=\dfrac{n(A \cap S)}{n(A)}=\dfrac{12}{35}\)