Question:
A die is rolled three times. The probability of getting a larger number than the previous number is
A die is rolled three times. The probability of getting a larger number than the previous number is
Show Hint
Strictly increasing sequences = combinations \({}^nC_r\).
Updated On: Apr 16, 2026
- \(\frac{5}{216}\)
- \(\frac{5}{54}\)
- \(\frac{1}{6}\)
- \(\frac{5}{36}\)
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The Correct Option is B
Solution and Explanation
Total outcomes:
\[
6^3=216
\]
Favorable outcomes:
Strictly increasing sequences:
\[
(1,2,3),(1,2,4),\dots,(4,5,6)
\Rightarrow {}^6C_3=20
\]
\[
P=\frac{20}{216}=\frac{5}{54}
\]
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