Question:
If π denotes the sum of the numbers appearing on a throw of two fair six-faced dice then the probability
π( 7 < π < 10) = ______ (round off to 2 decimal places).
If π denotes the sum of the numbers appearing on a throw of two fair six-faced dice then the probability
π( 7 < π < 10) = ______ (round off to 2 decimal places).
π( 7 < π < 10) = ______ (round off to 2 decimal places).
Updated On: Nov 18, 2025
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Correct Answer: 0.25
Solution and Explanation
Given: Two fair sixβfaced dice are thrown. Let the sum of numbers be \(X\). We want: \[ P(7 < X < 10) \] So the possible integer values of \(X\) are: \[ X = 8, 9 \] Total possible outcomes: Each die has 6 faces β total = \(6 \times 6 = 36\).
Favourable outcomes:
For \(X = 8\):
\[ (2,6), (3,5), (4,4), (5,3), (6,2) \] Total = **5 outcomes**
For \(X = 9\):
\[ (3,6), (4,5), (5,4), (6,3) \] Total = **4 outcomes**
Total favourable = \(5 + 4 = 9\)
Probability: \[ P(7 < X < 10) = \frac{9}{36} = \frac{1}{4} = 0.25 \]
Final Answer: 0.25
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