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: , 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 .
More Probability and conditional probability questions
- Question 19 · mediumA survey of pet ownership and car ownership among 120 people found: 45 own both a car and a pet,…
- Question 41 · mediumThe probability of rain on any given day this week is 0.3, independent of other days. What is the…
- Question 281 · easyThe probability that it rains on a given day is 0.4, and the probability that a certain sports…
- Question 300 · mediumA bag contains 5 red marbles and 3 blue marbles. Two marbles are drawn at random without…
- Question 301 · mediumIn a survey, 50% of respondents said they like coffee, 40% said they like tea, and 20% said they…
- Question 315 · easyThe probability that a customer buys a coffee is 0.6, and the probability that a customer buys a…
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.