Question

# A pair of dice is thrown. Find the probability of getting a sum of 8 or getting an even number on both the dices.

A
536
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B
936
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C
1136
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D
1336
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Solution

## The correct option is C 1136Sample space for total number of possible outcomes{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)(2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}Total number of outcomes = 36Favorable outcomes for sum of 8 or getting an even number on both the dices are(2,6),(3,5),(4,4),(5,3),(6,2),(2,2),(2,4),(4,2),(4,6),(6,4),(6,6)Number of favorable outcomes = 11The probability of getting a sum of 8 or getting an even number on both the dices, P(E)=n(E)n(S)=1136

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