1. ## Poker probability question

Two hands are dealt from a regular 52 card deck. The flop, river and turn are opened. Thus, there are two pairs of cards for two players, along with 5 more cards selected from the deck, making the flop, river and turn. What is the probability that one of the hands is Four of a kind, Aces and a King, and the other hand is a Royal Flush?

2. Originally Posted by judah.mizrachi
Two hands are dealt from a regular 52 card deck. The flop, river and turn are opened. Thus, there are two pairs of cards for two players, along with 5 more cards selected from the deck, making the flop, river and turn. What is the probability that one of the hands is Four of a kind, Aces and a King, and the other hand is a Royal Flush?
I don't get what you mean by the highlighted part. The first player is holding AK and has for of a kind? So the board has to be AAAxx, where xx complete the royal flush for the other player.

Is this what you mean?

3. One player gets AA and the other gets J 10

The river, flop and turn are, say:

A Q K A X

The J, 10, Q, K, one of the Aces on the table are of the same suit.