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Question

Six faces of a die are marked with numbers 1, -1, 0, -2, 2, 3 and the die is thrown thrice. The probability that the sum of the numbers thrown is six, is

A
3216
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B
6216
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C
10216
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D
18216
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Solution

The correct option is D 10216
Six faces are marked as 1, -1, 0, -2, 2, 3
Die is thrown thrice.
The following are possibilities for the sum to be 6

1+2+3 can be interchanged in 3!=6 ways
0+3+3 can be interchanged in 3!/2!=3 ways
2+2+2 = 1 way
So,number of ways = 10 ways
Total number of possibilities = 6*6*6
= 216

Probability = 10216

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