# Two Aces?

Three playing cards, two Aces and a King, are on the table upside down.

One of the three is then returned to the deck, leaving only two cards on the table.

• Ryan picks one of the two at random. It's an Ace.
• Maya picks one of the two at random. It's an Ace.
• Hana picks one of the two at random. It's an Ace.
• Jaycie picks one of the two at random. It's an Ace.

If the probability that both cards are Aces is $$\dfrac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers, what is $$a+b$$?

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