There are 4 decks of cards: a red deck (52 cards), a green deck (104 cards), a blue deck (156cards), and a yellow deck (208 cards). A standard 52-card deck consists of one card of eachsuit-rank combination (there are 13 suits and 4 ranks). The red deck is a standard 52-carddeck, the green deck consists of 2 standard 52-card decks, the blue deck consists of 3 standard52-card decks, and the yellow deck consists of 4 standard 52-card decks.
Given we observed the sequence (King of Hearts, Ace of Spades, King of Hearts) in this order while drawing from a random deck without replacement, what is the probability we drew from the blue deck?