In the table below, red entries relate to common statistical benchmarks, while blue entries relate to possible Bayesian criteria for burdens of proof in matters of legal evidence. The bold entry on coin tossing simply illustrates the more general rule that N bits of surprisal is associated with tossing all heads, on the first toss of N coins.
The next-to-last two entries in the table simply apply Boltzmann's constant kB ≈ 1.38×10-23[J/natK] ≈ 0.957×10-23[J/bitK], which specifies the minimum ordered-energy that must be thermalized for each nat or bit of subsystem correlation-information [1,2], per Kelvin of ambient reservoir for dumping the heat. The hotter the ambient, the greater the availability cost of good information, which is one reason that cooled CCDs can provide images with more bits per pixel, and that global cooling may be preferable to global warming [3].
Footnotes
Seth Lloyd (1989) "Use of mutual information to decrease entropy: Implications for the second law of thermodynamics", Physical Review A 39, 5378-5386 (link).