Analytical Geometry. Applications of Probability Study Guide. Use the word bank to fill in the blanks.

Transcription

1 Analytical Geometry Name Applications of Probability Study Guide Use the word bank to fill in the blanks. Conditional Probabilities Sample Space Union Mutually Exclusive Complement Intersection Event Independent Two Way Frequency Tables 1. In probability, a is the set of all possible outcomes. 2. If the outcome of one event does not rely on the other event, the events are. 3. The of two or more events is all of the outcomes shared by both events. It is denoted by the word and or with the symbol. 4. Any subset from the sample space is an. 5. If the outcome of one event relies on the other event, the events are. 6. The of two or more events is all of the outcomes for either event. It is denoted by the word or or the symbol. 7. The of an event is the set of outcomes in the same sample space that are not included in the outcomes of the event. It is denoted by the word not or with the symbol. 8. Two events are if the events cannot occur at the same time. 9. are found when one event has already occurred and a second event is being analyzed. It is denoted, and read probability of A given B.

2 Use color pencils to shade the appropriate parts of each Venn diagram using the given notation

3 Identify the formula that matches with the correct type of event. 1. Mutually Exclusive Events a. 2. Overlapping Events b. 3. Conditional Probabilities c. 4. Independent Events d.

4 Practice Problems 1. Use the table to determine the probability of selecting a card that is a heart, given that the card is a face card. Answer to question 2. In Mr. Noland s class, there are 12 boys and 16 girls. On Monday 4 boys and 5 girls were wearing white shirts. What is the probability of choosing a boy or a student wearing a white shirt? Answer

5 3. Terry has a number cube with sides labeled 1 through 6. He rolls the number twice. What is the probability that the sum of the two rolls is a prime number, given that one of the rolls is a 3? Answer 4. Mr. McKelvey surveyed 240 men and 285 women about their vehicles. Of those surveyed 155 men and 70 women said that they own a red vehicle. If a person is chosen at random from those surveyed, what is the probability of choosing a woman or a person that does NOT own a red vehicle? Answer

6 5. Tyler spins two spinners that have four equal sections numbered 1 through 4. If he spins a 4 on at least on spin, what is the probability that the sum of his two spins is an odd number? List sample space: (1, 1) (2, 1) (3, 1) (4, 1) (1, 2) (1, 3) (1, 4) Answer 6. In Cedartown, the probability that a person plays sports is 65%. The probability that a person is between the ages of 12 and 18 is 40%. The probability that a person plays sports and is between the ages of 12 and 18 is 25%. Are the events independent? Answer 7. A random survey was conducted to gather information about age and employment status. The table shows the data that were collected. What is the probability that a randomly selected person surveyed has a job, given that the person is less than 18 years old? Answer