Step 1: Tumor suppressor genes normally protect against cancer by regulating cell growth. Their inactivation is a common event in cancer.
Step 2: The inactivation of tumor suppressor genes occurs through several mechanisms:
- Gene amplification (A) usually leads to the overexpression of oncogenes, not inactivation of tumor suppressor genes.
- Promoter methylation (B) causes gene silencing by preventing transcription, thus inactivating the tumor suppressor gene.
- Loss of heterozygosity (C) occurs when one allele of a tumor suppressor gene is lost or mutated, leading to inactivation.
- Histone acetylation (D) generally activates gene expression and is not associated with tumor suppressor gene inactivation.
Final Answer: The correct events are promoter methylation and loss of heterozygosity.
\[\boxed{\text{Correct Answer: (B) and (C)}}\]