Exercise: Four spades out
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?