A die is rolled 50 times and the number 6 is obtained 8 times. Now, if the die is rolled at random, find the probability of getting the number 6.

Answer

To find the probability of getting the number 6 when a die is rolled, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the total number of rolls**:
The die is rolled 50 times.
\[ \text{Total rolls} = 50 \]

2. **Identify the number of successful outcomes**:
The number 6 is obtained 8 times.
\[ \text{Number of times 6 is obtained} = 8 \]

3. **Calculate the probability**:
The probability of an event is given by the formula:
\[ \text{Probability (P)} = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}} \]
Substituting the values we have:
\[ P(\text{getting 6}) = \frac{8}{50} \]

4. **Simplify the fraction**:
To simplify \(\frac{8}{50}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
\[ P(\text{getting 6}) = \frac{8 \div 2}{50 \div 2} = \frac{4}{25} \]

5. **Convert to decimal (if needed)**:
To express the probability in decimal form, we can divide 4 by 25:
\[ P(\text{getting 6}) = 0.16 \]

### Final Answer:
The probability of getting the number 6 when the die is rolled is \( \frac{4}{25} \) or \( 0.16 \).

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