At the risk of stating the obvious: The information content of a datum is its surprisal, the logarithm of the prior probability that it is true. If I currently give 1% chance that the cat in the box is dead, discovering that it is dead gives me 6.64 bits of information.
At the risk of stating the obvious: The information content of a datum is its surprisal, the logarithm of the prior probability that it is true. If I currently give 1% chance that the cat in the box is dead, discovering that it is dead gives me 6.64 bits of information.