Probabilities of certain Blackjack hands ?

Heya! I would like to know what are the percentages for each of the following in any blackjack given hand:

1. Any two card 20 ? (this include sotf A+9 and from what I know is ~ 10,5%)

2. Any two card hard 20 ? (ie. 10+10, 10+J, Q+K)

3. Pair including all ten value cards ? (ie. 2+2, or A+A, or J+J)

4. Pair excluding all ten value cards ?

PS: I know that the percentage differ slightly depending on the number of decks used, but a roughly +/-1% approximation would be just great for my needs. Thanks !

For 6 decks with formula for permutations given d decks. The denominator is 52*d(52*d-1) .

1. Any two card 20 ? (this include sotf A+9 and from what I know is ~ 10,5%) 10.5861984 %
16*d*(d*16-1) + d*4*d*4*2

2. Any two card hard 20 ? (ie. 10+10, 10+J, Q+K) 9.3989612 %
16*d*(d*16-1)

3. Pair including all ten value cards ? (ie. 2+2, or A+A, or J+J) 7.3954984 %
52*d*(d*4-1)

4. Pair excluding all ten value cards ? 5.1199604 %
36*d*(d*4-1)

Thanks a lot ! Great info !
But, seems I still need a bit more help with something similar.

What is the percentage of being dealt:

1. Any soft hand ? (including a Blackjack and a pair of aces)

2. Any soft hand ? (including a Blackjack but excluding pair of aces)

3. Any soft hand ? (excluding both: blackjacks and pair of aces)

Quote: PlayHunter

Thanks a lot ! Great info !
But, seems I still need a bit more help with something similar.

What is the percentage of being dealt:

1. Any soft hand ? (including a Blackjack and a pair of aces)

2. Any soft hand ? (including a Blackjack but excluding pair of aces)

3. Any soft hand ? (excluding both: blackjacks and pair of aces)

Using miplet's reply as a template, I get:

For 6 decks with formula for permutations given d decks. The denominator is 52*d(52*d-1) .

1. Any soft hand ? (including a Blackjack and a pair of aces) 14.8157309%
4*d*48*d*2 + d*4*(d*4-1)

2. Any soft hand ? (including a Blackjack but excluding pair of aces) 14.2468464%
4*d*48*d*2

3. Any soft hand ? (excluding both: blackjacks and pair of aces) 9.4978976%
4*d*32*d*2

Thanks a lot man !