In a cricket match, Dhoni hits a boundary 6 times out of 30 balls he plays. Find the probability that he did not hit a boundary.

Answer

To find the probability that Dhoni did not hit a boundary during the cricket match, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Total Balls Played**:
Dhoni played a total of 30 balls.

**Hint**: Look for the total number of attempts or events in the problem.

2. **Identify Boundaries Hit**:
Dhoni hit a boundary 6 times.

**Hint**: This is the number of successful outcomes related to the event of interest (hitting a boundary).

3. **Calculate Non-Boundary Hits**:
To find out how many times he did not hit a boundary, subtract the number of boundaries hit from the total balls played:
\[ \text{Non-boundary hits} = \text{Total balls} - \text{Boundaries hit} = 30 - 6 = 24 \]

**Hint**: Non-successful outcomes can be found by subtracting successful outcomes from total outcomes.

4. **Use the Probability Formula**:
The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} \]
Here, the favorable outcomes are the times he did not hit a boundary (24), and the total outcomes are the total balls played (30):
\[ \text{Probability of not hitting a boundary} = \frac{24}{30} \]

**Hint**: Remember that favorable outcomes are what you want to find the probability of.

5. **Simplify the Fraction**:
Now, simplify the fraction \(\frac{24}{30}\):
\[ \frac{24 \div 6}{30 \div 6} = \frac{4}{5} \]

**Hint**: Look for the greatest common divisor (GCD) to simplify the fraction.

6. **Convert to Decimal (Optional)**:
If needed, you can also express the probability in decimal form:
\[ \frac{4}{5} = 0.8 \]

**Hint**: Converting fractions to decimals can provide a different perspective on the probability.

### Final Answer:
The probability that Dhoni did not hit a boundary is \(\frac{4}{5}\) or 0.8.