The box contains coins, one coin from each of the 32 countries. One coin is taken out at random.

The box contains coins, one coin from each of the 32 countries. One coin is taken out at random. What is the information volume in the bits of the message that the coin of a certain country has been taken out?

In order to determine how much information we will receive when taking out coins, it is necessary to find out how many bits of information carry one action. The number of bits of information can be calculated as follows. It is necessary to divide the number of options by 2 while it is possible. We obtain from the known formulas.
32: 2 = 16 first bit.
16: 2 = 8 second bit.
8: 2 = 4 third bit.
4: 2 = 2 fourth bit.
2: 2 = 1 fifth bit.
Answer: the information carried by the result of taking out coins is 5 (bit).