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3 blocks are chosen randomly on a chessboard. What is the
probability that they are in the same diagonal?
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Answer Posted / guest
There are total of 64 blocks on a chessboard. So 3 blocks
can be chosen out of 64 in 64C3 ways.
So the sample space is = 41664
There are 2 diagonal on chessboard each one having 8 blocks.
Consider one of them.
3 blocks out of 8 blocks in diagonal can be chosen in 8C3 ways.
But there are 2 such diagonals, hence favourables = 2 * 8C3
= 2 * 56 = 112
The require probability is
= 112 / 41664
= 1 / 372
= 0.002688
| Is This Answer Correct ? | 41 Yes | 26 No |
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