LogFAQs > #877600842

https://www.random.org/

I roll it twice and if both numbers are even/odd it's a match. If I get the same number twice I re-roll. My "Hypothesis" is 1/3 given you can't pick the same sock twice.

1 4 not match
2 4 match
4 2 match
3 1 match
2 1 not match
4 4->1 not match (missed)
2 4 match
4 1 not match
2 3 not match
2 1not match
4 4->3 not match (missed)
2 2->4 match
4 4->2 match
2 2->2->4 match
2 1 not match
2 3 not match
3 4 not match
4 2 match
4 4->4->4->2 match
1 1->3 match
3 3->2 not match (missed)
2 3 not match

not match : match
12 : 9

Let's go again..

4 2 match
2 1 match
4 4->1 not match (missed)
2 4m
3 4n
4 4 2m
4 3 n
4 2 m
31 m
12 n
11113 m
24 m
31 m
2221 n
24 m
12 n
13 m
22 m
34 n

not match : match
12 : 7

total;
24 : 16

41 n1
41 n2
21 n3
42 m1
332 n4
221 n5
21 n6
223 n7
443 n8
32 n9
13 m2
43 n10

not match : match
10 : 2 (ouch)

total;
34 : 18

At a sample size of 52 pulls that's a telling 52% (those are coincidentally matching numbers I just so happened to stop there). Feel free to keep going. This probably has a blind spot where people don't understand the first sock is in a quantum position.