Question: 4) Alice and Bob use the one-time pad cipher in the binary form: all plaintexts, ciphertexts, and keys are strings of bits. Alice encrypts a

4) Alice and Bob use the one-time pad cipher in the binary form: all plaintexts, ciphertexts, and keys are strings of bits. Alice encrypts a string of n bits and sends the result to Bob.

a) What is the probability that the ciphertext string received by Bob consists only of zeros?

b) What is the probability that the ciphertext string received by Bob is the same as the initial plaintext string?

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