A deck of 52 cards is shuffled and divided into two stacks of 26 cards . If you repeat this process 2000 times , each time checking the contents of each pile , how many times could you expect the number of red cards in one pile to match the number of black cards in the other ?
What is the number of ways of choosing 4 cards from a deck of 52 , where all the cards are of the same suit and secondly , where all the cards are of different suits ?