Latest MBA Aptitude Question SOLUTION: what is the probability that a rectangle selected at random from a 8*8 chess board is a square?

1) 0
2) 17/108
3) 64/1296
4) 1

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(#M40016934) MBA Numerical Ability question permutations and combinations, probability Keep an EYE

what is the probability that a rectangle selected at random from a 8*8 chess board is a square?

1) 0
2) 17/108
3) 64/1296
4) 1

Asked In MBA (11 years ago)

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Read Solution (1) :

Parth garg  (11 years ago)

Total no. Of squares are :-
Square of size 1X1= 64=8^2 .
2X2 =49= 7^2
And so on. 8X8=1=. 1^2

So total squares using n(n+1)(2n+1)/6 where n=8

Total rectangles : we need to choose 2 out of 9 lines across ech dimension to make it a square, that is, 9c 2 .

So ans is ( 8*9*17/6 )/ 9c2 * 9c2 equals 17/108

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