SAT Math · Problem-Solving and Data Analysis

Probability and conditional probability practice questions

Each free question on this page comes with its answer and a full explanation, and each one is marked easy, medium or hard.

  1. Question 19 · mediumA survey of pet ownership and car ownership among 120 people found: 45 own both a car and a pet, 30 own a car but no pet, 20 own…
  2. Question 41 · mediumThe probability of rain on any given day this week is 0.3, independent of other days. What is the probability of at least one…
  3. Question 281 · easyThe probability that it rains on a given day is 0.4, and the probability that a certain sports team wins on a given day is 0.7,…
  4. Question 300 · mediumA bag contains 5 red marbles and 3 blue marbles. Two marbles are drawn at random without replacement. What is the probability…
  5. Question 301 · mediumIn a survey, 50% of respondents said they like coffee, 40% said they like tea, and 20% said they like both. What percent of…
  6. Question 302 · easyA factory finds that 3% of its manufactured parts are defective. In a batch of 2,000 parts, how many parts would be expected to…
  7. Question 315 · easyThe probability that a customer buys a coffee is 0.6, and the probability that a customer buys a pastry is 0.5, independent of…
  8. Question 327 · hardA game costs $5 to play. A player wins $20 with probability 0.1, wins $8 with probability 0.3, and wins nothing otherwise. What…
  9. Question 328 · hardA factory's Machine A produces 60% of all units with a 3% defect rate, and Machine B produces the remaining 40% with a 5% defect…

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