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Ah.....actually their chances of being able to contact another intelligent assemblage of atoms (this time what appears to be a large slime mold) is actually p=1, or a dead set certainty, give that this particular universe has been in existence for infinite time and is infinitely large. Despite the expansion of spacetime, eventually some scintilla of radio energy will leak over into either entity's comoving frame of reference for the other to detect. In actual fact, the expansion will eventually merge both comoving frames, otherwise we'd never have seen anything beyond the ends of our proverbial noses, so to speak, as every point in spacetime from the outset of inflation would've been within its own comoving frame and cutoff from everything else. Frames of reference must've merged, otherwise our universe would just consist of one spacetime point/particle. So, if we assume that frames of reference merge as spacetime expands, they will eventually come within the others reference frame. It might almost take forever, but it will happen. But by then, the signals might be so attenuated you couldn't tell them from the background noise.
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