 the number of permutations of formula_7 objects of which cards in the suit are indistinguishable and cards not in the suit are indistinguishable.The number of arrangements of which correspond to East having formula_3 cards in the suit and West formula_5 cards in the suit is given by formula_12.Therefore, formula_13If the direction of the split is unimportant (it is only required that the split be formula_3-formula_5, not that East is specifically required to hold formula_3 cards), then the overall probability is given byformula_17where the Kronecker delta ensures that the situation where East and West have the same number of cards in the suit is not counted twice.