Final answer:
The odds of drawing a king from one standard deck of cards is 1 in 13, and this remains unchanged across separate decks since they are independent events. HEnce, option D) 1:13 is the correct answer.
Step-by-step explanation:
To determine the odds of getting one king from three separate decks of cards, we consider the probability of drawing a king from one deck and then extend this to three decks. Each standard deck of 52 cards has 4 kings, one in each suit (hearts, spades, diamonds, and clubs).
Therefore, the likelihood of drawing a king from one deck is 4 chances out of 52 or simply 1 chance out of 13 (since 4/52 simplifies to 1/13). Since the draws from the three decks are independent events, the odds of drawing a king from one deck remains unchanged with each draw.
This means the odds of getting a king from the first deck are 1 in 13, the second deck also 1 in 13, and the third deck again 1 in 13. These odds do not get aggregated. Thus, for each separate deck, the odds are 1:13, making option D) 1:13 the correct answer.