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  • Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is : Option: 1<

Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is :
Option: 1 \frac{1}{9}
Option: 2 \frac{1}{7}
Option: 3 \frac{2}{7}
Option: 4 \frac{1}{18}

Answers (1)

best_answer

sample\: space= \, ^{64}C_{2}= \frac{64\times 63}{2}
                                              = 32\times 63= 2016
No.of pairs sharing a common side
= 7\times 8\times 2= 112

Probablity= \frac{112}{2016}= \frac{1}{18}

Posted by

Kuldeep Maurya

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