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Q.

An ordinary cube has 3 blank faces, other 3 faces are marked with number 1, 2, 3. Then the probability of getting 12 in 5 throws is

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a

5065

b

4065

c

4565

d

2565

answer is A.

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Detailed Solution

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0,0,0,1,2,3 are the numbers on 6 faces of a die where blank face denote a zero. To get sum 12 in 5 throws 
We can get (3,3,2,2,2) or (3,3,3,2,1) or (3,3,3,3,0) in any order, No. of favourable
 Cases =5C2+ 5C3×2+ 5C4×3=45[0 cab be obtained in 3 ways ]
Required probability =4565

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