The percentage of marks obtained by a student in six units tests are given below:
`|{:("Unit test","I","II","III","IV","V","VI"),(5%" of marks obtained","53","72","28","46","67","59"):}|`
A unit test is selected at random. What is the probability that the student gets more than `60%` marks in the test.

Answer

To solve the problem, we need to find the probability that a student gets more than 60% marks in a randomly selected unit test.

### Step-by-Step Solution:

1. **Identify the Marks Obtained**:
The marks obtained by the student in the six unit tests are:
- Unit Test I: 53%
- Unit Test II: 72%
- Unit Test III: 28%
- Unit Test IV: 46%
- Unit Test V: 67%
- Unit Test VI: 59%

2. **Determine the Total Number of Unit Tests**:
There are a total of 6 unit tests.

3. **Identify Favorable Outcomes**:
We need to find out how many of these tests have marks greater than 60%.
- Unit Test I: 53% (not favorable)
- Unit Test II: 72% (favorable)
- Unit Test III: 28% (not favorable)
- Unit Test IV: 46% (not favorable)
- Unit Test V: 67% (favorable)
- Unit Test VI: 59% (not favorable)

The favorable outcomes (tests with more than 60%) are Unit Test II and Unit Test V. Therefore, there are 2 favorable outcomes.

4. **Calculate the Probability**:
The probability (P) is given by the formula:
\[ P = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
Substituting the values we found:
\[ P = \frac{2}{6} = \frac{1}{3} \]

5. **Conclusion**:
The probability that the student gets more than 60% marks in a randomly selected unit test is \(\frac{1}{3}\).