Which is a pair of independent events?

choosing one calendar date for sports practice and then choosing a back-up date

choosing one card from a deck and then choosing one card from another deck

choosing a pen to write with in class and then choosing another to let a friend use

choosing a first place and then a second place work of art

The answer is

choosing one card from a deck and then choosing one card from another deck.

These two actions are independent of each other. There is the same probability of choosing a card from any of those decks.

Let's say the decks are of 52 cards for example.

If you select one from the first deck, there are still 52 cards on the second.

Having selected from one, did not affect the other.