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Question for the math wizards

North
AK
A9753
KQJ
A52

 

You pick up a hand of this sort, open 2NT, and partner transfers to .

(If you think this hand is too good, swap out the J of diamonds for an x)

What are the odds that partner holds 0 HCP, 1 HCP, 2 HCP, etc.?

Answer in the comments please

TIA

my partner always holds a mirror image 0 count
my partner always holds a mirror image 0 count

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