Two decks of cards are sitting on a table. One deck is a standard deck of 52 cards. The other deck (called the rigged deck)  also has 52 cards but has had 4 of the 13 Harts replaced by Diamonds. (Recall that a standard deck has 4 suits: Diamonds, Harts, Spades, and Clubs. normal there are 13 of each suit.)

1. What is the probability one chooses 4 cards from the rigged deck and gets exactly 2 diamonds and no hearts?
2. What is the probability one chooses 4 cards from the standard deck and gets exactly 2 diamonds and no hearts?
3. You randomly chose one of the decks and draw 4 cards. You obtain exactly 2 diamonds and no hearts.
   1. What is the probability you chose the cards from the rigged deck?
   2. What is the probability you chose the cards from the standard deck?
   3. If you had to guess which deck was used, which would you guess? The standard or the rigged ?