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 or red

Answer

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

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

### Step 2: Identify the Number of Favorable Outcomes
We need to find the number of favorable outcomes for choosing a blue or red ball.
- The number of red balls = 8
- The number of blue balls = 6

Now, we can calculate the total number of favorable outcomes:
\[ \text{Favorable outcomes} = \text{Number of red balls} + \text{Number of blue balls} = 8 + 6 = 14 \]

### Step 3: Calculate the Probability
The probability \( P \) of choosing a blue or red ball is given by the formula:
\[ P(\text{blue or red}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Substituting the values we found:
\[ P(\text{blue or red}) = \frac{14}{20} \]

### Step 4: Simplify the Probability
To simplify \( \frac{14}{20} \):
\[ \frac{14}{20} = \frac{7}{10} \]

### Final Answer
Thus, the probability of choosing a blue or red ball is:
\[ \boxed{\frac{7}{10}} \]

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