The percentage of attendance of different classes in a year in a school is given below: Class: X IX VIII VII VI V Attendance: 30 62 85 92 76 55 What is the probability that the class attendance is more than 75%?
(a)`1/6`
(b) `1/3`
(c) `5/6`
(d) `1/2`

Options

A. `1/6`
B. `1/3`
C. `5/6`
D. `1/2`

Answer

To find the probability that the class attendance is more than 75%, we can follow these steps:

### Step 1: Identify the classes with attendance percentages
We have the following attendance percentages for each class:
- Class X: 30%
- Class IX: 62%
- Class VIII: 85%
- Class VII: 92%
- Class VI: 76%
- Class V: 55%

### Step 2: Determine which classes have attendance greater than 75%
Now, we will check which classes have attendance greater than 75%:
- Class VIII: 85% (greater than 75%)
- Class VII: 92% (greater than 75%)
- Class VI: 76% (greater than 75%)
- Class IX: 62% (not greater than 75%)
- Class X: 30% (not greater than 75%)
- Class V: 55% (not greater than 75%)

The classes with attendance greater than 75% are:
- Class VIII
- Class VII
- Class VI

### Step 3: Count the number of favorable outcomes
The number of classes with attendance greater than 75% is 3 (Class VIII, Class VII, and Class VI).

### Step 4: Count the total number of classes
The total number of classes is 6 (Class X, IX, VIII, VII, VI, and V).

### Step 5: Calculate the probability
The probability \( P \) that the class attendance is more than 75% is given by the formula:
\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{6} \]
Simplifying this fraction gives:
\[ P = \frac{1}{2} \]

### Final Answer
The probability that the class attendance is more than 75% is \( \frac{1}{2} \).