In search of...8 matching pairs

What are the chances of pulling 8 pairs of cards from a deck, and have them each match?
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totals plays
0 matches
1 matches
2 matches
3 matches
4 matches
5 matches
6 matches
7 matches
8 matches
occurrence (at least) 0 matches 100%
1 matches 1 ÷ 17 (5.88%)
2 matches
3 matches
4 matches
5 matches
6 matches
7 matches
8 matches