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Selecting squares from chessboard

  • #1
utkarshakash
Gold Member
855
13

Homework Statement


If three one by one squares are selected at random from the chessboard, then the probability that they form the letter 'L' is

Homework Equations



The Attempt at a Solution


Total number of ways to choose 3 squares is 64C3. Starting from the 1st square at upperleft corner of 1st row, there is only one way to choose the remaining two squares from the second row adjacent to it such that they form the letter L and this is possible for all the 7 squares(excluding the 8th one) present in 1st row. Thus, it is 7 squares for one row. Similarly, for every 7 rows present(excluding the 8th one), it sums up to 7*7=49. The probability is 49/64C3. But this is not correct!
 

Answers and Replies

  • #2
34,264
10,308
I think it does not matter how the "L" is oriented. If it appears as "L" from a different side, it counts as well.
 

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