Step 1: Analyze Statement C:
Diborane (\( \text{B}_2\text{H}_6 \)) is a hydride of Boron (Group 13). Group 13 elements have only 3 valence electrons. Even in the dimer form, there are not enough electrons to form normal 2-center-2-electron bonds for the bridge hydrogens (3-center-2-electron bonds are formed). Therefore, it is classified as an electron-deficient hydride, not electron precise. Electron precise hydrides belong to Group 14 (e.g., \( \text{CH}_4 \)).
Step 2: Analyze other statements:
(A) Correct. \( \text{TlI}_3 \) does not exist (or exists as \( \text{Tl}^+ \text{I}_3^- \)) because Thallium shows a stable +1 oxidation state due to the inert pair effect, and \( \text{I}^- \) is a strong reducing agent which reduces \( \text{Tl}^{3+} \).
(B) Correct. For example, \( \text{BCl}_3 \) hydrolyses to form \( [\text{B}(\text{OH})_4]^- \) which is tetrahedral.
(D) Correct. \( \text{B}_2\text{H}_6 + 6\text{H}_2\text{O} \to 2\text{H}_3\text{BO}_3 + 6\text{H}_2 \). Boric acid is formed.
Conclusion: Statement (C) is incorrect.