A bag contains 20 coloured balls . 8 are red , 6 are blue ,3 are green ,2 are white and 1 is brown. A ball is chosen at random from the bag . What is the probability that ball chosen is :
brown

Answer

To find the probability of choosing a brown ball from the bag, we can follow these steps:

### Step 1: Identify the total number of balls in the bag.
The bag contains:
- 8 red balls
- 6 blue balls
- 3 green balls
- 2 white balls
- 1 brown ball

**Total number of balls = 8 + 6 + 3 + 2 + 1 = 20**

### Step 2: Determine the number of favorable outcomes.
The favorable outcome in this case is the event of choosing a brown ball. There is only **1 brown ball** in the bag.

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

In this case:
- Number of favorable outcomes (choosing a brown ball) = 1
- Total number of outcomes (total balls) = 20

### Step 4: Substitute the values into the formula.
\[ P(\text{brown ball}) = \frac{1}{20} \]

### Conclusion:
The probability of choosing a brown ball from the bag is \( \frac{1}{20} \).

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