Verified Solution • 2025–26 Session moderate

QJEEM21Ma9ce7: JEE Main 2021 Mathematics - Class 12 JEEM21Ma9ce7 Solution: Two squares are chosen at random on a chessboard (see figure).…

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

JEE Main 2021 (Online) 1st September Evening Shift Mathematics - Probability Question 99 English

Multiple Choice Options

  • A 27
  • B 118
  • C 17
  • D 19

Step-by-Step Verified Solution

Total ways of choosing square = 64C2

=64×632×1=32×63

ways of choosing two squares having common side = 2 (7 × 8) = 112

Required probability =11232×63=1632×9=118.

Ans. (b)

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