TS EAMCET · Maths · Probability
When two dice are thrown, the probability of getting an ordered pair \((x, y)\) such that \(x^2+y^2 \leq 25\) where \(x, y\) are numbers that show up on the two dice, is
- A \(\frac{4}{9}\)
- B \(\frac{25}{36}\)
- C \(\frac{7}{12}\)
- D \(\frac{5}{12}\)
Answer & Solution
Correct Answer
(D) \(\frac{5}{12}\)
Step-by-step Solution
Detailed explanation
Two dice thrown with \((x, y)\) coordinate. Total sample space \(\mathrm{S}=6^2=36\). Let \(\mathrm{E}\) favourable outcome to choose numbers which satisfy the equation \(x^2+y^2 \leq 25\). Keep fixed first position whose possible numbers are 1,…
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