Cards on which numbers 1, 2, 3 .......... 100 are written (one number on one card and no number is repeated), put in a bag and are mixed thoroughly. A card is drawn at random from the bag. Find the probability that card taken out has
What is the probability that card taken out has a odd number which is multiple of 11?

Options

A. 0.05
B. 0.1
C. 0.12
D. 0.06

Explanation

To solve the problem, we need to find the probability of drawing a card that has an odd number which is also a multiple of 11 from a set of cards numbered from 1 to 100.

### Step-by-Step Solution:

1. **Identify the Total Number of Cards:**
- The cards are numbered from 1 to 100. Therefore, the total number of cards is 100.

2. **Determine the Odd Multiples of 11:**
- The multiples of 11 within the range of 1 to 100 are:
- 11, 22, 33, 44, 55, 66, 77, 88, 99
- Among these, we need to find the odd multiples:
- The odd multiples of 11 are: 11, 33, 55, 77, 99

3. **Count the Odd Multiples of 11:**
- From the list above, we can see that there are 5 odd multiples of 11 (11, 33, 55, 77, 99).

4. **Calculate the Probability:**
- Probability is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
- Here, the number of favorable outcomes (odd multiples of 11) is 5, and the total number of outcomes (total cards) is 100.
- Therefore, the probability is:
\[ \text{Probability} = \frac{5}{100} = 0.05 \]

5. **Conclusion:**
- The probability that the card drawn has an odd number which is a multiple of 11 is 0.05.

### Final Answer:
The probability is **0.05**.