To determine the probability of being issued a specific license plate in the format of four letters followed by two numbers, we need to consider the total number of possible combinations.

1. **Calculate the number of possible letters:**
- The English alphabet has 26 letters.
- Since the letter 'O' is not used, there are 25 possible letters.

2. **Calculate the number of possible numbers:**
- Each number can be any digit from 0 to 9, giving 10 possible choices for each number.

3. **Determine the total number of possible license plates:**
- There are 4 positions for letters and 2 positions for numbers.
- The total number of combinations for the letters is $ 25^4 $.
- The total number of combinations for the numbers is $ 10^2 $.

Therefore, the total number of possible license plates is:
$$
25^4 \times 10^2
$$

4. **Calculate the total number of possible license plates:**
$$
25^4 = 25 \times 25 \times 25 \times 25 = 390,625
$$
$$
10^2 = 10 \times 10 = 100
$$
$$
25^4 \times 10^2 = 390,625 \times 100 = 39,062,500
$$

5. **Determine the probability of being issued a specific license plate:**
- Since there is only one specific license plate out of the total possible combinations, the probability is:
$$
\frac{1}{39,062,500}
$$

Thus, the probability of being issued the specific license plate is:
$$
\frac{1}{39,062,500}
$$

Question

To determine the probability of being issued a specific license plate in the format of four letters followed by two numbers, we need to consider the total number of possible combinations.

1. **Calculate the number of possible letters:**
   - The English alphabet has 26 letters.
   - Since the letter 'O' is not used, there are 25 possible letters.

2. **Calculate the number of possible numbers:**
   - Each number can be any digit from 0 to 9, giving 10 possible choices for each number.

3. **Determine the total number of possible license plates:**
   - There are 4 positions for letters and 2 positions for numbers.
   - The total number of combinations for the letters is $ 25^4 $.
   - The total number of combinations for the numbers is $ 10^2 $.

Therefore, the total number of possible license plates is:
   $$
   25^4 \times 10^2
   $$

4. **Calculate the total number of possible license plates:**
   $$
   25^4 = 25 \times 25 \times 25 \times 25 = 390,625
   $$
   $$
   10^2 = 10 \times 10 = 100
   $$
   $$
   25^4 \times 10^2 = 390,625 \times 100 = 39,062,500
   $$

5. **Determine the probability of being issued a specific license plate:**
   - Since there is only one specific license plate out of the total possible combinations, the probability is:
   $$
   \frac{1}{39,062,500}
   $$

Thus, the probability of being issued the specific license plate is:
$$
\frac{1}{39,062,500}
$$

Knowee AI · Accepted Answer