A bag contains a black ball, a red ball and a green ball, all the balls are identical in shape and size. Mohit takes out a ball from the bag, without looking into it. What is the probability that the ball drawn is :
(ii) black ball ?

Answer

To find the probability that the ball drawn is a black ball, we can follow these steps:

### Step 1: Identify the total number of balls
In the bag, there are three balls:
- 1 black ball
- 1 red ball
- 1 green ball

**Total number of balls (N)** = 3

### Step 2: Identify the number of favorable outcomes
The favorable outcome for our event (drawing a black ball) is:
- 1 black ball

**Number of favorable outcomes (F)** = 1

### Step 3: Use the probability formula
The probability \( P \) of an event is given by the formula:
\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Substituting the values we identified:
\[ P(\text{black ball}) = \frac{F}{N} = \frac{1}{3} \]

### Step 4: Conclusion
The probability that the ball drawn is a black ball is \( \frac{1}{3} \).

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