Conclusions: All bats being balls is a possibility. Some balls can be umpires.

1) Only score is ball → ball cannot have any relation with anyone. Hence neither conclusion I nor II follow. Hence option 1 is not correct. 2) Only score is ball → ball cannot have any relation with anyone. Hence neither conclusion I nor II follow. Hence option 2 is not correct. 3) All balls are scores (A) + Some scores are bats (I) → All bat may be balls (A). Hence conclusion I follows. All balls are scores (A) + [No umpire is a score (E) → Conversion] → No score is a umpire (E) → No ball is a umpire (E). Hence conclusion II does not follow. Hence option 3 is not correct. 4) Some balls are scores (I) + All scores are bats (A) → Some balls are bats (I) → Probable conclusion → All bats may be balls (A). Hence conclusion I follows. Some balls are scores (I) + [No umpire is a score (E) → Conversion] → No score is an umpire (E) → Some balls are not umpires (O) → Probable conclusion → Some balls can be umpires (I). Hence conclusion II follows. Hence option 4 is correct.