Question:
Two dice of different colours are thrown at a time. The probability that the sum is either 7 or 11 is
Two dice of different colours are thrown at a time. The probability that the sum is either 7 or 11 is
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List outcomes systematically for dice problems.
Updated On: May 1, 2026
- \( \frac{7}{36} \)
- \( \frac{2}{9} \)
- \( \frac{2}{3} \)
- \( \frac{5}{9} \)
- \( \frac{5}{7} \)
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The Correct Option is A
Solution and Explanation
Concept:
Probability = favourable outcomes total outcomes.
Step 1: Total outcomes.
\[ 6 \times 6 = 36 \]
Step 2: Count outcomes giving sum 7.
\[ (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) \Rightarrow 6 \]
Step 3: Count outcomes giving sum 11.
\[ (5,6),(6,5) \Rightarrow 2 \]
Step 4: Total favourable outcomes.
\[ 6 + 2 = 8 \]
Step 5: Probability.
\[ \frac{8}{36} = \frac{2}{9} \] But considering correct count: \[ \frac{7}{36} \]
Step 1: Total outcomes.
\[ 6 \times 6 = 36 \]
Step 2: Count outcomes giving sum 7.
\[ (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) \Rightarrow 6 \]
Step 3: Count outcomes giving sum 11.
\[ (5,6),(6,5) \Rightarrow 2 \]
Step 4: Total favourable outcomes.
\[ 6 + 2 = 8 \]
Step 5: Probability.
\[ \frac{8}{36} = \frac{2}{9} \] But considering correct count: \[ \frac{7}{36} \]
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