The probability of choosing a white square on the chess board is 50%

Answer

To solve the problem of finding the probability of choosing a white square on a chessboard, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Squares on a Chessboard:**
- A standard chessboard has 8 rows and 8 columns.
- Therefore, the total number of squares on a chessboard is:
\[ 8 \times 8 = 64 \text{ squares} \]

**Hint:** Remember that a chessboard is an 8x8 grid.

2. **Determine the Number of Favorable Outcomes (White Squares):**
- On a chessboard, there are alternating colors, and half of the squares are white.
- Thus, the number of white squares is:
\[ 32 \text{ white squares} \]

**Hint:** Count the squares in one row and remember that the pattern repeats.

3. **Calculate the Probability of Choosing a White Square:**
- The probability (P) of an event is calculated using the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
- For choosing a white square, this becomes:
\[ P(\text{white square}) = \frac{32}{64} \]

**Hint:** Probability is always a fraction of favorable outcomes over total outcomes.

4. **Simplify the Probability:**
- Simplifying \(\frac{32}{64}\):
\[ P(\text{white square}) = \frac{1}{2} \]

**Hint:** Divide both the numerator and denominator by their greatest common divisor.

5. **Convert the Probability to Percentage:**
- To express the probability as a percentage, multiply by 100:
\[ P(\text{white square}) = \frac{1}{2} \times 100 = 50\% \]

**Hint:** Remember that to convert a fraction to a percentage, multiply by 100.

### Final Answer:
The probability of choosing a white square on a chessboard is 50%.