Card Games/Gambling. Reference Below. Neatly provide in depth Proof with all Theories and steps used

Louis has a basic deck of 52 cards, there are 13 cards of each suit in the deck (13 clover, 13 diamond, 13 spade and 13 hearts). Allow E to be the occurrence that there's exactly 2 hearts in Louis' hand and allow F to be the occurrence that there's exactly 2 clovers.

Louis wants to know: are these occurrences independent? explain.