Unit 7 Probability Test Study Guide Geometry Reference Sheet - Year Long Guide ● Describe events as subsets of a sample space ● Understand independent events ● Understand conditional probability ● Construct and interpret two-way tables 1. A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent? 2. Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs. What is the probability that the first CD that Kyle pulls from the box will NOT be hip hop? a. ⅗ c. 12/30 b. ⅖ d. 17/30 Answer: Dependent Answer: 3/5 3. Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs. What is the probability that Kyle will select a jazz CD from the box, and then, without replacing the CD, select a country CD? a. 1/29 b. 10/290 Answer: 1/29 4. A card is drawn from a deck of 52 playing cards. What is the probability that it is a king or a red card? A. B. C. D. 3/13 4/13 5/13 7/13 c. 10/320 d. 1/32 Answer: 7/13 5. In a class, there are 30 girls and 15 boys. 20 of the 30 girls like football and the rest of them like badminton. 10 of the 15 boys like football and the rest of them like badminton. Find the probability that the student selected randomly will be a boy who likes football? A. B. C. D. ⅔ 2/15 2/9 1 6. A card is drawn from a deck of 52 playing cards. What is the probability that it is a king AND a BLACK card? A. B. C. D. 1/13 1/52 1/26 2/13 Answer: 1/13 Answer: 2/9 Use the table below to answer questions 7 8. What is the probability of a middle school student that plays an instrument, given they play a team sport? (Hint: the denominator is the number of students who play a team sport) and 8. 7. What percent of people who play an instrument do not play a team sport? A. B. C. D. Answer: 4/5 80% 40% 27.3% 90.1% Answer: 27.3% Use the following table for questions 9, 10, 11. 9. Fill in the following frequency table: Biology Chemis try Physics Total Female 18 15 14 47 Male 8 6 19 33 Total 26 21 33 80 10. This table shows the number of female and male students in each science class. How many students are taking biology? 11. What is the probability that a student will take chemistry, given that they are female (use the table above)? Answer: 26 Answer: 45/47