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For draws without replacement, multiply conditional probabilities. First draw good: ( \frac{12}{15} = \frac{4}{5} ). After removing one good syringe, remaining good = 11; total remaining = 14. Second draw good: ( \frac{11}{14} ). Combined probability: ( \frac{4}{5} \times \frac{11}{14} = \frac{44}{70} = \frac{22}{35} ). Thus, choice B is correct. Choice A ((\frac{11}{35})) is roughly half the correct value and can result from erroneously multiplying numerators without adjusting the first fraction or from dividing by 70 twice. Choice C ((\frac{8}{15})) corresponds to the probability of first draw good times something incorrect, or to treating draws as independent with the same denominator (which they are not). Choice D ((\frac{2}{5})) is an unrelated simplification. TEAS probability items hinge on recognizing dependence: in without-replacement scenarios, update counts after each draw. Reduce fractions at the end to simplest form to match answer choices and verify reasonableness (value ≈ 0.629).