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(1 2.13 Consider a cryptosystem in which P = {a,b,c}, X = {K1, K2, K3} and C = {1,2,3,4}. Suppose the encryption matrix is as follows: b K11 2 3 K2 2 3 4 K: 3 4 1 Given that keys are chosen equiprobably, and the plaintext probability distribution is Pr[a] = 1/2, Pr[b] = 1/3, Pr[c] = 1/6, Does this cryptosystem has perfect secrecy? (1 2.13 Consider a cryptosystem in which P = {a,b,c}, X = {K1, K2, K3} and C = {1,2,3,4}. Suppose the encryption matrix is as follows: b K11 2 3 K2 2 3 4 K: 3 4 1 Given that keys are chosen equiprobably, and the plaintext probability distribution is Pr[a] = 1/2, Pr[b] = 1/3, Pr[c] = 1/6, Does this cryptosystem has perfect secrecy