In a remote work setup, you rely on two different internet connections to ensure uninterrupted work: a primary fiber optic connection with a $0.003$ probability of failure and a backup satellite connection with a $0.020$ probability of failure. What is the probability that both internet connections fail? What is the probability that both do not fail?

• A. Both fail: $0.00006$Both do not fail: $0.97706$
• B. Both fail: $0.00006$Both do not fail: $0.01994$
• C. Both fail: $0.01994$Both do not fail: $0.97706$
• D. Both fail: $0.01994$Both do not fail: $0.00294$

Answer: (A)