How do we know that God preserved Noah and his family?

The preservation of Noah and his family is explicitly tied to Noah's faith as depicted in Hebrews 11:7, which states that he prepared an ark guided by God's warning. In Genesis 6:18, God establishes a covenant with Noah, ensuring safety for him and his family amidst impending judgment upon the world. This act of preservation illustrates that God's grace operates through chosen means, demonstrating that Noah's actions were instrumental in God's salvation plan. Therefore, it is clear that their survival was not merely coincidental but a deliberate act of divine mercy based on faith.