Question

In a hand at Whist, $\frac{a}{4165}$ is the probability that four kings are held by a specified player. find the value of $a.$

Answer 1

$4playereveryonegot13cardstotalis52$

$Noofpossibledistribution={{52}_C}_{13}$

$favourable={{48}_C}_9\times {4_C}_4$

$Probability=\frac{{{48}_C}_9\times {4_C}_4}{{{52}_C}_{13}}=\frac{11}{4165}$

Comparing with $\frac{a}{4165}$ we get $a=11$