Nothing to do with hardware. Quoting again from that bitcoin wiki page: The highest possible target (difficulty 1) is defined as 0x1d00ffff, which gives us

Nothing to do with hardware. Quoting again from that bitcoin wiki page: The highest possible target (difficulty 1) is defined as 0x1d00ffff, which gives us a hex target of 0x00ffff * 2**(8*(0x1d - 3)) = 0x00000000FFFF0000000000000000000000000000000000000000000000000000 As you can see a random hash has a chance of close to 2^-32 to satisfy that target.