JEE Mains · Maths · STD 12 - 13. probability
Let \(S=\left\{E, E_{2} \ldots . E_{8}\right\}\) be a sample space of random experiment such that \(P\left(E_{n}\right)=\frac{n}{36}\) for every \(n =1,2 \ldots .\). Then the number of elements in the set \(\left\{ A \subset S : P ( A ) \geq \frac{4}{5}\right\}\) is
- A \(17\)
- B \(18\)
- C \(19\)
- D \(20\)
Answer & Solution
Correct Answer
(C) \(19\)
Step-by-step Solution
Detailed explanation
\(P \left( A ^{\prime}\right)<\frac{1}{5}=\frac{36}{180}\) \(5\) times the sum of missing number should be less than \(36 .\) If \(1\) digit is missing \(=7\) If \(2\) digit is missing \(=9\) If \(3\) digit is missing \(=2\) If \(0\) digit is missing \(=1\) Alternate \(A\) is…
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