SAT Math · Probability and conditional probability · easy

A factory finds that 3% of its manufactured parts are defective. In a batch of 2,000 parts, how many parts would be expected to be…

A factory finds that 3% of its manufactured parts are defective. In a batch of 2,000 parts, how many parts would be expected to be defective?

Answer and explanation

Answer: B: 60

The expected number of defective parts is the defect rate times the batch size: 0.03×2000=600.03 \times 2000 = 60, choice B. Convert 3% to the decimal 0.03 before multiplying. Choice A (3) treats 3% as 3 parts regardless of the batch. Choice C (600) corresponds to 30%, which results from using 0.3 instead of 0.03. Choice D (6) corresponds to 0.3% and results from moving the decimal point too far. A quick check: 1% of 2,000 is 20, so 3% is 3×20=603 \times 20 = 60.

More Probability and conditional probability questions

All Probability and conditional probability questions

Learn the method behind questions like this one

The SAT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.