In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...

You can only split a pair if you are dealt a pair. Suits don’t matter. You need cards of equal rank. The odds of being dealt a pair are 5.88%, roughly 1 in 17 hands. The number of decks in play makes ...