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Question

A special dice with number 1,−1,2,−2,0 and 3 is thrown thrice. What is the probability that the sum of the number occurring on the upper face is zero?

A
172
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B
18
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C
772
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D
25216
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Solution

The correct option is B 25216
The possible favourable outcomes are
(1,1,0)6 possibilities
(2,2,0)6 possibilities
(2,1,3)6 possibilities
(1,1,2)3 possibilities
(1,1,2)3 possibilities
(0,0,0)1 possibility
Total number of favourable outcomes are 25.
Total outcomes of 3 throws of die are 6×6×6=216
The probability of 0 sum on top face =25216

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