Question 1061925
Chance that the first sock is white: 
10/44 = 5/22
If the first sock is white, chance that the second sock is white: 
(10-1)/(44-1) = 9/43
Chance of getting a white pair: 
(5/22) * (9/43) = 45/946
:
Chance that the first sock is blue: 
12/44 = 3/11
If the first sock is white, chance that the second sock is blue: 
(12-1)/(44-1) = 11/43
Chance of getting a blue pair: 
(3/11) * (11/43) = 3/43
:
Put it all together: 
(45/946) + (3/43) = 111/946