Suppose that in the use of polynucleotide phosphorylase, nucleotides A and C are added in a ratio of 1A:5C. What is the probability that an AAA sequence will occur?

Short Answer

Expert verified
Answer: The probability of an AAA sequence occurring in this reaction is 1/216.

Step by step solution

01

Calculate probabilities of A and C being added

Given the ratio of 1A:5C, we can find the probability of each nucleotide being added by dividing the frequency of each nucleotide by the total frequency of nucleotides. The total frequency of nucleotides is 1A + 5C = 6. The probability of A being added is 1/6, and the probability of C being added is 5/6.
02

Calculate the probability of each nucleotide in the AAA sequence

To find the probability of the AAA sequence occurring, we need to calculate the probability of each A nucleotide in the sequence. Since these events are independent, we can find the probability for each A in the sequence separately: - Probability of first A: 1/6. - Probability of second A: 1/6. - Probability of third A: 1/6.
03

Calculate the combined probability of the AAA sequence

Now that we have the probability of each A in the sequence, we can find the probability of the entire AAA sequence occurring by multiplying the probabilities of each nucleotide together: (1/6) * (1/6) * (1/6) = 1/216. So, the probability that an AAA sequence will occur is 1/216.

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