Step 1: Understanding PCR amplification.
Each cycle of PCR doubles the amount of DNA. After 30 cycles, the amount of DNA increases by a factor of \(2^{30}\), which is approximately 1 billion times.
Step 2: Analyzing the Options.
(A) 2 million times: This is too low — after 30 cycles, the increase is far higher than this.
(B) 2 billion times: Correct — \(2^{30} \approx 1 \text{ billion}\), so the DNA sequence is amplified by approximately 2 billion times after 30 cycles.
(C) 2 trillion times: This is too high for 30 cycles.
(D) 2 quadrillion times: This is much too high for 30 cycles.
Step 3: Conclusion.
The correct answer is (B) 2 billion times, as this is the approximate increase in DNA quantity after 30 cycles of PCR.