Question: Exercise 2. OTP (60 points) Recall the One Time Pad encryption system we saw in class: Message space M: {0, 1} Keyspace K: {0,1}' Ciphertext

Exercise 2. OTP (60 points) Recall the One Time Pad encryption system we saw in class: Message space M: {0, 1} Keyspace K: {0,1}' Ciphertext space C: {0,1} Gen: k=ki...ke Enc(k, m): = m; ek Dec(k, c): m = ceki Assume that an adversary knows that Pr[m = 010) = 0.5 and Pr[m = 011] = 0.5. The adversary then observes a ciphertext c = 010. Compute the following probabilities: (a) (10 Points) What is Pr[m = 010c=010]? (Show your work.) (b) (10 Points) What is Pr[m=011 | c=010]? (Show your work.)

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