TS EAMCET · Maths · Probability
Let \(S\) be the sample space of the random experiment of throwing simultaneously two unbiased dice with six faces (numbered 1 to 6 ) and let \(E_k=\{(a, b) \in S: a b=k\}\) for \(k \geq 1\). If \(p_k+P\left(E_k\right)\) for \(k \geq 1\), then the correct among the following, is
- A \(p_1 < p_{30} < p_4 < p_6\)
- B \(p_{36} < p_6 < p_2 < p_4\)
- C \(p_1 < p_{11} < p_4 < p_6\)
- D \(p_{36} < p_{11} < p_6 < p_4\)
Answer & Solution
Correct Answer
(A) \(p_1 < p_{30} < p_4 < p_6\)
Step-by-step Solution
Detailed explanation
Given that, \(E_k=\{(a, b) \in S: a b=k\}\) for \(k \geq 1\) and \(p_k=P\left(E_k\right)\) Now, \(E_1=\{(1,1)\} \quad \Rightarrow \quad p_1=P\left(E_1\right)\)…
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