A bag contains 7 white and 9 red balls. The probability of drawing a white ball is-

Options

A. `1/16`
B. `1/52`
C. `7/52`
D. `7/16`

Answer

To find the probability of drawing a white ball from a bag containing 7 white balls and 9 red balls, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of white and red balls**:
- Number of white balls = 7
- Number of red balls = 9

2. **Calculate the total number of balls in the bag**:
\[ \text{Total number of balls} = \text{Number of white balls} + \text{Number of red balls} = 7 + 9 = 16 \]

3. **Use the probability formula**:
The probability \( P \) of an event is given by:
\[ P(\text{event}) = \frac{\text{Number of desired outcomes}}{\text{Total possible outcomes}} \]

4. **Determine the desired outcome**:
- The desired outcome is drawing a white ball. Therefore, the number of desired outcomes (white balls) = 7.

5. **Calculate the probability of drawing a white ball**:
\[ P(\text{drawing a white ball}) = \frac{\text{Number of white balls}}{\text{Total number of balls}} = \frac{7}{16} \]

6. **Final answer**:
The probability of drawing a white ball from the bag is \( \frac{7}{16} \).