What is the probability of picking an odd number from 45, 56, 78, 99,81,23, 14

Options

A. `5//7`
B. `4//7`
C. `3//7`
D. `6//7`

Answer

To find the probability of picking an odd number from the given set of numbers (45, 56, 78, 99, 81, 23, 14), we can follow these steps:

### Step 1: Identify the total numbers in the set
We have the following numbers: 45, 56, 78, 99, 81, 23, and 14.

**Total numbers = 7**

### Step 2: Identify the odd numbers in the set
An odd number is defined as a number that is not divisible by 2. Let's check each number:

- 45 (odd)
- 56 (even)
- 78 (even)
- 99 (odd)
- 81 (odd)
- 23 (odd)
- 14 (even)

The odd numbers from the set are: 45, 99, 81, and 23.

**Total odd numbers = 4**

### Step 3: Calculate the probability
The probability of an event is given by the formula:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case, the number of favorable outcomes (odd numbers) is 4, and the total number of outcomes (total numbers) is 7.

\[ \text{Probability of picking an odd number} = \frac{4}{7} \]

### Final Answer
The probability of picking an odd number from the given set is \(\frac{4}{7}\).

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