Question: The binary string 101101, where the string is unchanged upon reversing order, is called a palindrome (of length 6). Suppose a binary string of length

The binary string 101101, where the string is unchanged upon reversing order, is called a palindrome (of length 6). Suppose a binary string of length 6 is randomly generated, with 0, 1 equally likely for each of the six positions in the string. What is the probability the string is a palindrome if the first and sixth bits
(a) Are both 1.
(b) Are the same?

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