Playing cards: A standard deck has 52 cards, divided into 4 suits (hearts ♥️, diamonds ♦️, clubs ♣️, spades ♠️), each with 13 ranks (A(ce), 2, …, 10, J(ack), Q(ueen), K(ing)). The cards J, Q, and K are called face cards. Suits are broken into two colors: red (♥️, ♦️) and black (♣️, ♠️).

Four people around a table are randomly dealt a standard deck of 52, each receiving 13 cards. You are paired with the person sitting opposite you. You know that you and your partner jointly hold 9 of the ♠️’s. Which is more likely: the remaining 4 ♠️’s are distributed evenly between the opponents, or one or the other opponent holds 2 more ♠️’s than the other? If one scenario is more likely, by how much?