What are the odds of two adjacent, 4-byte aligned, 32-bit values, at any random offset within the memory space of an application on a 32-bit processor, xoring to 0?

To clarify. 

                     |-any random offset in ram
- - - --------------------------------------------------------- - - -
      |    |    |    |AAAA|BBBB|    |     |    |    |    |    |
- - - --------------------------------------------------------- - - - 

AAAA XOR BBBBB == 0

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In reply to (OT): Probability problem by Anonymous Monk

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