Step 1: Approach
Follow what happens in time after the cap is removed.
Step 2: Sequence of events
1. The sealed gas space at high pressure is exposed to air, so the internal pressure drops (B).
2. At lower pressure the water can hold less $\text{CO}_2$, so solubility falls (A).
3. The extra gas leaves as bubbles, called effervescence (C).
Step 3: Statement (D)
Air pressure outside the bottle stays about 1 atm all the time. There is no rise in external pressure, so (D) does not occur.
Step 4: Conclusion
Statements (A), (B), (C) occur, which is option (A).
Final Answer:
Statements (A), (B) and (C) occur, while (D) does not, so the answer is option (A).
\[ \boxed{\text{(A), (B) and (C) only}} \]