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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