FUVEST (University of São Paulo Entrance Exam) · Mathematics and Physics

Mathematics: Probability and Counting

8 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 8 questions

  1. A bag has 2 red and 8 blue marbles. One marble is drawn at random. What is the probability it is red?
  2. A box holds 5 green and 5 yellow balls. Two balls are taken one after the other without replacement. What is the probability that both are green?
  3. In a class, 33 students play football, 31 play volleyball and 9 play both. 10 play neither. How many students are in the class?
  4. A fair die is rolled 3 times. What is the probability of getting at least one six?
  5. Two fair dice are rolled. What is the probability that the sum is 9?
  6. Two fair dice are rolled. What is the probability that the sum is 4?
  7. A fair die is rolled 4 times. What is the probability of getting at least one six?
  8. A fair die is rolled 2 times. What is the probability of getting at least one six?

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