Question:
Probability of getting sum 7 or 9 when two dice are thrown is:
Probability of getting sum 7 or 9 when two dice are thrown is:
Show Hint
Always count ordered pairs for dice problems.
Updated On: Apr 16, 2026
- \(\frac{5}{18}\)
- \(\frac{1}{6}\)
- \(\frac{1}{9}\)
- None of these
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The Correct Option is A
Solution and Explanation
Concept:
When two dice are thrown, total number of outcomes = \(6 \times 6 = 36\).
Step 1: Favorable outcomes for sum = 7. Possible pairs: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 ways.
Step 2: Favorable outcomes for sum = 9. Possible pairs: (3,6), (4,5), (5,4), (6,3) → 4 ways.
Step 3: Total favorable outcomes. \[ 6 + 4 = 10 \]
Step 4: Probability. \[ P = \frac{10}{36} = \frac{5}{18} \]
Step 1: Favorable outcomes for sum = 7. Possible pairs: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) → 6 ways.
Step 2: Favorable outcomes for sum = 9. Possible pairs: (3,6), (4,5), (5,4), (6,3) → 4 ways.
Step 3: Total favorable outcomes. \[ 6 + 4 = 10 \]
Step 4: Probability. \[ P = \frac{10}{36} = \frac{5}{18} \]
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