you play a CD using the random setting. Are the selections of the first two songs that are played independent or dependent event?

Answer 1

depends on how "random" is implemented.

If it means that songs are selected randomly until all have been played, with no repeats, then the events are not independent.

If no history is kep, but a random number from 1 to N is generated for an N-track CD, then they'd be independent.