$(40$ pts$.)$Consider the Shift Cipher which encrypts the $26$ lower case English alphabet letters$($plaintext$)$ to the $26$ upper case English alphabet letters $($ciphertext$).$ The keyspace ofShift Cipher is the set of K$=\{0,1,..\mathrm{.}25\}$ whichidentifies a uniform shift of the plaintextinto the ciphertext space, for example, the word $$dad$$ with k$=1$ is encrypted as EBEusing the Shift Cipher.Given the following probabilities:Pr $[$ M$=$hi$]=0\mathrm{.}3,$ Pr $[$M$=$no$]=0\mathrm{.}2,$ Pr $[$M$=$in$]=0\mathrm{.}5$Find$,$ Pr $[$M$=$hi$|$ C$=$XY$]$Pleaseprovide all steps and clearly specify which tools you utilizedat each step.$$Based on the calculated probability of part $($a$)$ can you tell me if the Shift Cipher isperfectly secret or not?Please elaborate in detail