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Two dice are rolled. Given that the sum of the two numbers is 8, what is the probability that one of the dice shows a 6?

Class 10Probability Word ProblemsStatistics

A $\frac{2}{5}$
B $\frac{1}{3}$
C $\frac{1}{6}$
D $\frac{1}{2}$

Step-by-Step Solution

Sum 8 outcomes: (2,6),(3,5),(4,4),(5,3),(6,2) = 5. Those with a 6: (2,6),(6,2) = 2. Conditional

P = \frac{2}{5}

.

Answer: A)

\frac{2}{5}

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