ProbabilityHardBloom L3

Question

A die is rolled three times, the probability of getting larger number than the previous number is

Options

A.$\frac{1}{36}$
B.$\frac{11}{216}$
C.$\frac{5}{208}$
D.$\frac{5}{54}$

Solution

Sol. [Key Concept: Die rolled 3 times: probability of the stated outcome.]

Probability $= \frac{\ ^{6}C_{3}}{6^{3}} = \frac{5}{54}$

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