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A child has a fair die. She rolls it twice. What is the probability that the first roll is greater than the second roll?

Class 10Probability Word ProblemsStatistics

A $\frac{5}{12}$
B $\frac{1}{2}$
C $\frac{1}{3}$
D $\frac{7}{12}$

Step-by-Step Solution

Total = 36. Equal (ties) = 6. Remaining 30 split equally between first>second and first<second, so 15 each.

P = \frac{15}{36} = \frac{5}{12}

.

Answer: A)

\frac{5}{12}

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