Problem Analysis #24

Kimi K3 · Run 1

Correct
10.69s
577 toks

API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.

Problem Statement

This is a Korean CSAT mathematics multiple-choice problem. Solve it and put only the correct choice symbol, one of ①, ②, ③, ④, ⑤, inside \boxed{}.

Problem 25 A box contains five white balls labeled 1,2,3,4,5 (one ball for each label) and five black balls labeled 2,3,4,5,6 (one ball for each label). Two balls are drawn at random from the box at the same time (without replacement). Find the probability that the two balls drawn are of the same color or have the same number written on them. [3 points] ① 7 15 ② 8 15 ③ 3 5 10 ④ 2 3 ⑤ 11 15

Ground Truth
Recorded model response / solution
Reasoning Process

\boxed{②}

Final Model Output

Comparative Analysis (P24) (Average across runs)

Averages use reported measurements only. Missing usage is not treated as zero.

Avg Time Taken

Kimi K3
15.9
Motif 3
15.3
Solar Pro 4
6.1
K-EXAONE-2
1.3

Avg Token Usage

Solar Pro 4
762.7
Kimi K3
571.0
K-EXAONE-2
543.3
    CSAT 2026 · Problem 24 · Kimi K3 | EntropyMath