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CCHS TPM4 Chapter 3 Section 3.1 Practice Name ________________________________________Date: _____________ Period: ____________ Identify the sample space of the following probability experiments using a tree diagram. 1. Rolling a six-sided die and tossing a coin. 2. Tossing four coins. Classify the following statements as an example of classical, empirical, or subjective probability. 3. Jane tosses a coin 50 times and gets heads 28 times. 4. After watching the students in the hallway between classes your Math teacher states that about 15% of the students are in violation of the dress code. 5. Sally needs to roll a four to win the game of Candy Land and has a 1/12 chance of winning on the next roll. Find the probability of the following if there are 30 students in the class who have been numbered and you use a calculator to generate random numbers between 1 and 30. 6. A number less than 10. 8. A number divisible by 3. 7. A number greater than or equal to 20. 9. A number between 15 and 20. Mambou 2/16/2016 8:49:26 AM CCHS Use the following frequency distribution to find the probabilities. Grades on the last Test A B C D F Frequency 5 8 15 6 4 10. The probability of making an A. 12. The probability of failing. 11. The probability of making at least a C. 13. The probability of passing. Make a Tree Diagram to determine the probability. 14. The weather forecaster states that there is a 40% chance of rain over the next three days. What is the probability that there will at least two days with no rain? Mambou 2/16/2016 8:49:26 AM CCHS TPM4 Chapter 3 Section 3.1 Practice Name ______________Keys________Date: ___February 16, 2016_ Period: ____________ Identify the sample space of the following probability experiments using a tree diagram. 1. Rolling a six-sided die and tossing a coin. 2. Tossing four coins. 1H,1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, TTHH, HTHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT Classify the following statements as an example of classical, empirical, or subjective probability. 3. Jane tosses a coin 50 times and gets heads 28 times. Empirical 4. After watching the students in the hallway between classes your Math teacher states that about 15% of the students are in violation of the dress code. Subjective 5. Sally needs to roll a four to win the game of Candy Land and has a 1/12 chance of winning on the next roll. Classical Find the probability of the following if there are 30 students in the class who have been numbered and you use a calculator to generate random numbers between 1 and 30. 6. A number less than 10. 3/10 7. A number greater than or equal to 20. 8. A number divisible by 3. 11/20 1/3 9. A number between 15 and 20. 2/15 Use the following frequency distribution to find the probabilities. Grades on the last Test Frequency A 5 B 8 C 15 D 6 F 4 10. The probability of making an A. 5/38 11. The probability of making at least a C. 12. The probability of failing. 2/19 13. The probability of passing. 17/19 14/19 Make a Tree Diagram to determine the probability. 14. The weather forecaster states that there is a 50% chance of rain over the next three days. What is the probability that there will at least two days with no rain? ½ or 50% Mambou 2/16/2016 8:49:26 AM