TS EAMCET · Maths · Probability
If two dice are rolled, then the probability of getting a multiple of 3 as the sum of the numbers appeared on the top faces of the dice, if it is known that their sum is an odd number, is
- A \(\frac{1}{5}\)
- B \(\frac{11}{36}\)
- C \(\frac{1}{3}\)
- D \(\frac{7}{18}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
When sum is a multiple of 3 , sum can be \(A=\{3,6,9,12\}\) When sum is odd sum can be \(B=\{3,5,7,9,11\}\) Sum should be 3 or 9 for sum to be odd \(\begin{aligned} & A \cap B=\{(1,2),(2,1),(6,3),(3,6),(5,4),(4,5)\} \\ & n(A \cap B)=6 \end{aligned}\) Favourable cases for \(B=\)…
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