TS EAMCET · Maths · Probability
Two dice are rolled. If a random variable \(X\) is defined as the absolute difference of the two numbers that appear on them, then the mean of \(X\) is
- A 0
- B \(\frac{13}{18}\)
- C \(\frac{19}{9}\)
- D \(\frac{35}{18}\)
Answer & Solution
Correct Answer
(D) \(\frac{35}{18}\)
Step-by-step Solution
Detailed explanation
Two dice are rolled \(X=\) Absolute difference of two number \( \begin{aligned} \mu(\text { Mean })=\Sigma P_i X_i & =\frac{0+10+16+18+16+10}{36} \\ & =\frac{70}{36}=\frac{35}{18} \end{aligned} \)
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