Given a sequence $$$( A )$$$ , where each element $$$( A_i )$$$ is a randomly chosen integer from $$$( 0 )$$$ to $$$( 2^k - 1 )$$$ , what is the probability that there exists a subsequence of $$$( A )$$$ whose XOR sum is equal to $$$0$$$ ?
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Given a sequence $$$( A )$$$ , where each element $$$( A_i )$$$ is a randomly chosen integer from $$$( 0 )$$$ to $$$( 2^k - 1 )$$$ , what is the probability that there exists a subsequence of $$$( A )$$$ whose XOR sum is equal to $$$0$$$ ?