TS EAMCET · Maths · Probability
When 3 dice are thrown at a time, the sum of the numbers appeared on 3 dice was found to be 15 . Then the probability that the number 5 does not appear on any one of the dice is
- A \(\frac{7}{10}\)
- B \(\frac{3}{10}\)
- C \(\frac{4}{15}\)
- D \(\frac{2}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{3}{10}\)
Step-by-step Solution
Detailed explanation
Total sample space \(=6^3=216\). Here, combinations of total som to be 15 is \((3,6,6) \times 3+\) \((4,5,6) \times 3 !+(5,5,5)\). Total combinations \(=3+6+1=10\). Let event \(\mathrm{E}\) and \(\mathrm{f}\) be the 5 does not opper on axy dice and Total combinations of sum to…
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