The probability that a square is selected at random from 8×8 chess board each of size 3×3 is:
A
417
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B
317
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C
217
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D
1517
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Solution
The correct option is B317 Number of square of size:1×1=(8)(8)=64
Number of square of size:2×2=(7)(7)=49
Number of square of size:3×3=(6)(6)=36
Number of square of size:4×4=(5)(5)=25
Number of square of size:5×5=(4)(4)=16
Number of square of size:6×6=(3)(3)=9
Number of square of size:7×7=(2)(2)=4
Number of square of size:8×8=(1)(1)=1
Total number of squares =64+49+36+25+16+9+4+1=204
Probability of getting 3×3 square =36204=317