Question

Let P denotes the probability of selecting one white and one black square from the chessboard so that they are not in the same row and also not in the same column (an example of this kind of the choice is shown in figure), then (1024)P is ______.

Options

• 765.00

• 766.00

• 767.00

• 768.00

Answer 1

Let P denotes the probability of selecting one white and one black square from the chessboard so that they are not in the same row and also not in the same column (an example of this kind of the choice is shown in figure), then (1024)P is 768.00.

Explanation:

Total = ³²C₁.³²C₁ = 1024

For required case = Total – (in same row or in same column)

= 1024 – ((⁴C₁.⁴C₁)8 × 2) = 768

 ∴ p = `768/1024`

⇒ 1024p = 768