1. Section 6.2.3 Probability Models AP Statistics toddfadoir.com/apstats

2. AP Statistics, Section 6.2, Part 32 Definition of Independence Two events A and B are independent if knowing that one occurs does not change the probability of that the other occurs. If A and B are independent, This is the multiplication rule for independent events

3. AP Statistics, Section 6.2, Part 33 Example of Independent Events First coin flip, second coin flip Rolling of two dice Choosing two cards with replacement

4. AP Statistics, Section 6.2, Part 34 Example of Not Independent Events Choosing two cards without replacement Scoring above 600 on verbal SAT, scoring 600 on math SAT

5. AP Statistics, Section 6.2, Part 35 Independent and complements If A and B are independent, then so are…  A c and B c  A and B c  A c and B

6. AP Statistics, Section 6.2, Part 36 Are these events independent? A={person is left-handed} B={person is an only child} C={person is blue eyed}

7. AP Statistics, Section 6.2, Part 37 Are these events independent? A={person is college graduate} B={person is older than 25} C={person is a bank president}

8. AP Statistics, Section 6.2, Part 38 Traffic light example Suppose the timing of the lights on morning commute are independent. The probability of being stopped at any light is.6. P(getting through all 6 lights) .4 6 =.004096 P(getting stopped at all the lights) .6 6 =.046656

9. AP Statistics, Section 6.2, Part 39 Assignment Exercises: 6.27-6.33 all, 6.35-6.45 odd