Trio
Full houses are called by the cards they consist of. For instance a Full House KKKTT is a full house Kings over Tens. In the case of TTTKK its a full house Tens over kings. So basically its a full house [The three of a kind] over [the pair].
When the deck is full, this probability is 4/52 (the probability of getting one of 4 aces) times 16/51 (the probability of getting one of 16 kings, queens, jacks, or tens) times 2 (the number of orders in which you could get these cards: ace first, or ace second). This comes out to 32/663, or about 4.83%. Of course, this probability changes as the game progresses: it decreases when any of the tens, jacks, queens, kings, or aces get discarded, but increases when other cards get discarded. This change is unpredictable, but its expected value is 0; this is a complicated concept to explain, but it means that on average, the probability will go up as much as it goes down. Also, the probability is still 32/663 at any point in the game if you have no information whatsoever about what cards came up before: if you forgot every card you saw, or if you just joined the game.
There are 4 tens, 4 jacks, and 52 total cards. Assuming you take a single card out of a full and shuffled deck, the chances are 8/52=2/13=15.38%.
The probability of drawing two jacks and three tens of any suite from a standard deck of cards is: 5C2 ∙ (4/52)∙(3/51)∙(4/50)∙(3/49)∙(2/48) = 0.00000923446... ≈ 0.0009234% where 5C2 = 5!/[(5-2)!∙(2!)] = 10
The pair of queens beat the pair of tens, the nine and the ace are irrelevant. Queens are higher ranked than tens.
In an ordinary deck of cards here are four of every denomination -- one in every suit (one in hearts, one in spades, etc.) There are four aces, four two's, four tens, four jacks and on and on.
The 10s and 5s
A standard 52 cards deck contains 4 kings and 4 tens. Given that the type of the card does not matter, we have a total of 8 valid cards (4 kings + 4 tens) to choose from a 52 cards deck. Hence the probability is 8/52.
A King is a King and a 10 is a 10. The King's value of 10 is used in Blackjack not in poker. You cannot use a King in place of a 10 for a straight in poker.
Tens and Elevens are not standard units or measurements that have a universal meaning. Can you please provide more context so I can assist you better?
Both hands are full houses, which means that there is a three of a kind and a pair in each hand. When comparing these hands the three of a kind is what determines the winner, in this case three 6's beats three deuces.