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Consider the shift cipher, where we have the following distribution over the message space M: Pr[M = a] = 0.7 and Pr[M = z] =

Consider the shift cipher, where we have the following distribution over the message space M: Pr[M = a] = 0.7 and Pr[M = z] = 0:3: Here M is the random variable denoting the plaintext. What is the probability that the ciphertext is c? What is the probability that message z was encrypted, given that we observe the ciphertext c ?

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