Two squares are chosen at random on a chessboard, the probability that they have a side in common is:

Options

A. `3/32`
B. `1/32`
C. `1//18`
D. none of these

Answer

To solve the problem of finding the probability that two randomly chosen squares on a chessboard have a side in common, we can follow these steps:

### Step 1: Calculate the Total Outcomes
The total number of squares on a chessboard is 64 (8 rows and 8 columns). We need to choose 2 squares from these 64 squares.

The total number of ways to choose 2 squares from 64 is given by the combination formula:
\[ \text{Total Outcomes} = \binom{64}{2} = \frac{64 \times 63}{2} = 2016 \]