As per probability , the frequency of occurrence the palindromic sequuence recognized by Eco RI is (Assuming that the occurrence of bases is adJacent postions is randon on DNA).

Options

A. once in 9046 nuleotides
B. once in 4069 nucleotides
C. once in 4096 nucleotides
D. once in 6096 nucleotieds

Answer

To find the frequency of occurrence of the palindromic sequence recognized by Eco RI (which is G-A-A-T-T-C), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Palindromic Sequence**: The palindromic sequence recognized by Eco RI is G-A-A-T-T-C. This sequence consists of 6 nucleotides.

2. **Understand the Probability of Each Base**: In a random DNA sequence, the four nucleotide bases (A, T, G, C) are assumed to occur with equal probability. Therefore, the probability of each base appearing at any position is:
- P(A) = 1/4
- P(T) = 1/4
- P(G) = 1/4
- P(C) = 1/4

3. **Calculate the Probability of the Entire Sequence**: Since the bases are independent of each other, the probability of the entire sequence (G-A-A-T-T-C) occurring can be calculated by multiplying the probabilities of each base:
- Probability of G = 1/4
- Probability of A = 1/4
- Probability of A = 1/4
- Probability of T = 1/4
- Probability of T = 1/4
- Probability of C = 1/4

Therefore, the probability of the sequence G-A-A-T-T-C is:
\[ P(G-A-A-T-T-C) = \left(\frac{1}{4}\right)^6 = \frac{1}{4^6} \]

4. **Calculate 4^6**:
- \( 4^6 = 4096 \)

5. **Final Probability**: Thus, the probability of the sequence G-A-A-T-T-C occurring is:
\[ P(G-A-A-T-T-C) = \frac{1}{4096} \]

6. **Interpretation**: This means that in a random DNA sequence of 4096 bases, we expect to find the sequence G-A-A-T-T-C once.

### Conclusion:
The frequency of occurrence of the palindromic sequence recognized by Eco RI is 1 in 4096 nucleotides.