Board Game Arena

First hand: 10 of hearts 9 of diamonds
Second hand: 10 of hearts 9 of diamonds
Third and last hand: 10 of hearts 8 of hearts.

Three times the 10 of hearts, twice the 9 of diamonds, very similar hands in general!

https://boardgamearena.com/table?table=944437933

The odds of the same card in your hand two hands in a row is 1/26. The odds of the same card in your hand three hands in a row is 1/26 * 1/52 or 1 in 1000. Not that unlikely if you play a lot.

1st hand: I assume you don't care specifically about what cards you get, then any combo will do.
2nd hand: To get the exact same cards again (I guess you don't care about the order): 1/26 * 1/51 = less than 0.1% (1 in 1326)
3rd hand: Same as above for it to happen, less than 0.001% (~ 1 in 1.7 Million)

Now if you allow for the 3rd card a variation of ±1 for one of the cards, it's ~0.3% and combined ~0.00025% (~ 1 in 400'000)