Using Rabin-Karp string searching algorithm, walk through the steps of finding how many times the string “aba" occurs in the string "abdabababd". Now, re-calculating the hash values, take modulus with respect to 3 and 7. For hashing with modulo 3, will any collision (the stings are different but the hash is same) occur between any sub-string of the text with the pattern? Can you come up with an efficient way to reduce the probability of this collision (check the hash values for modulo 3 and modulo 7)?

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