Write down solution this question in cryptographic
p={a,b,c} with p[a]=1/8,p[b]=1/4.let k={k1,k2,k3,k4}with p[k1]=1/8,p[k2]=1/8,p[k3]=1/2.let c={1,2,3,4,5,6}and suppose the encryption function is defined
keys alphabet
a b c
k1 1 2 3
k2 2 3 4
k3 3 4 5
k4 4 5 6
calculate the probability distribution and conditional probability distribution.