A bag contains 4 white and 5 blue balls. They are mixed throughly and one ball is drawn at random. What is the probability of getting (i) a white ball? (ii) a blue ball?

Answer

To solve the problem, we will calculate the probability of drawing a white ball and a blue ball from a bag containing 4 white balls and 5 blue balls.

### Step-by-Step Solution:

1. **Identify the Total Number of Balls:**
- The bag contains 4 white balls and 5 blue balls.
- Total number of balls = Number of white balls + Number of blue balls
\[ \text{Total balls} = 4 + 5 = 9 \]

2. **Calculate the Probability of Drawing a White Ball:**
- The number of favorable outcomes for drawing a white ball = 4 (since there are 4 white balls).
- The probability of drawing a white ball is given by the formula:
\[ P(\text{White}) = \frac{\text{Number of favorable outcomes for white}}{\text{Total outcomes}} = \frac{4}{9} \]

3. **Calculate the Probability of Drawing a Blue Ball:**
- The number of favorable outcomes for drawing a blue ball = 5 (since there are 5 blue balls).
- The probability of drawing a blue ball is given by the formula:
\[ P(\text{Blue}) = \frac{\text{Number of favorable outcomes for blue}}{\text{Total outcomes}} = \frac{5}{9} \]

### Final Answers:
- (i) The probability of getting a white ball is \(\frac{4}{9}\).
- (ii) The probability of getting a blue ball is \(\frac{5}{9}\).