In his last ten innings, MS Dhoni hit century in three innings Find the probability that Dhoni did not hit a century in an innings.

Answer

To find the probability that MS Dhoni did not hit a century in an inning based on the information provided, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Total Innings**:
- MS Dhoni played a total of 10 innings.
- **Hint**: Always start by identifying the total number of trials or events in probability problems.

2. **Identify Innings with Centuries**:
- Out of these 10 innings, Dhoni hit a century in 3 innings.
- **Hint**: Determine the successful outcomes or events that meet the criteria of the question.

3. **Calculate Innings without Centuries**:
- To find out how many innings he did not hit a century, subtract the number of innings with centuries from the total innings:
\[ \text{Innings without centuries} = \text{Total Innings} - \text{Innings with Centuries} = 10 - 3 = 7 \]
- **Hint**: Use subtraction to find the complementary outcomes when dealing with probabilities.

4. **Set Up the Probability Formula**:
- The probability of an event is given by the formula:
\[ P(\text{not hitting a century}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \]
- In this case, the number of favorable outcomes (innings without centuries) is 7, and the total outcomes (total innings) is 10.
- **Hint**: Remember the formula for probability: favorable outcomes divided by total outcomes.

5. **Calculate the Probability**:
- Substitute the values into the formula:
\[ P(\text{not hitting a century}) = \frac{7}{10} \]
- **Hint**: Always simplify your fraction if possible, but in this case, \( \frac{7}{10} \) is already in its simplest form.

6. **Convert to Decimal (if needed)**:
- The fraction \( \frac{7}{10} \) can also be expressed as a decimal:
\[ \frac{7}{10} = 0.7 \]
- **Hint**: Converting fractions to decimals can sometimes make the probability easier to understand.

### Final Answer:
The probability that MS Dhoni did not hit a century in an inning is \( \frac{7}{10} \) or 0.7.