prob UK 12 and Sweden winning = 0%
prob UK 10 and Sweden winning = 0
prob UK 8 and Sweden winning (12) =1/10 * 1/9 (the Uk's 8 has already been allocated) = 1/90
prob UK 7 and Sweden winning (10,12) =1/10 * 2/9 = 2/90
prob UK 6 and Sweden winning (10,12) =1/10 *2/9 =2/90
prob UK 5 and Sweden winning (8,10,12) = 1/10 *3/9 = 3/90
prob UK 4 and Sweden winning (7,8,10,12)=1/10 * 4/9 = 4/90
prob UK 3 and Sweden winning (6,7,8,10,12)=1/10 * 5/9 = 5/90
prob UK 2 and Sweden winning (5,6,7,8,10,12)=1/10 * 6/9 = 6/90
prob UK 1 and Sweden winning (4,5,6,7,8,10,12)=1/10 * 7/9 = 7/90
Answer therefore = (1+2+2+3+4+5+6+7)/90
= 30/90 = 1/3