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 :
blue

Answer

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

### Step 1: Identify the total number of balls in the bag.
The total number of balls is given as 20.

### Step 2: Identify the number of favorable outcomes.
The number of blue balls in the bag is given as 6.

### Step 3: Use the probability formula.
The probability \( P \) of an event is calculated using the formula:
\[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case, the event is choosing a blue ball.

### Step 4: Substitute the values into the formula.
Substituting the values we have:
\[ P(\text{Blue}) = \frac{6}{20} \]

### Step 5: Simplify the fraction.
To simplify \( \frac{6}{20} \), we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[ P(\text{Blue}) = \frac{6 \div 2}{20 \div 2} = \frac{3}{10} \]

### Final Answer:
The probability that the ball chosen is blue is \( \frac{3}{10} \).

---