This is the 606th most frequent Czech word.
druhého
"Of the second" or "of another."
Here, 'druhého' functions as the ordinal numeral 'second' in the genitive case related to the time expression.
Na dovolenou pojedeme až druhého července.
We will go on vacation on the second of July.
In this sentence, 'druhého' acts as the ordinal numeral 'second' in reference to a choice, also in the genitive case.
Chcete další šálek čaje nebo raději druhého?
Do you want another cup of tea or rather the second one?
Here, 'druhého' represents the ordinal numeral 'second' in the genitive case to specify the test being discussed.