Assume two (2) cards are dealt at random from k decks of cards (k is any positive integer, so total there are 52k cards). Assume you bet that two cards form a pair and the payoff is 11 to 1 for the bet.
(a) Determine your winning and losing probabilities.
(b) Determine the odds against your bet.
(c) Assume the bet is $1, find the house edge and standard deviation of the bet for k=4,6,8,?.