1. PART I. P robability ► Chapter 1. Probability ► Chapter 2. Random variables 1 Duy Tan University MS. Nguyễn Tấn Huy

2. 1.4 Probabilities of combined events 1.4.11.4.1 Probability of a union 1.4.21.4.2 Conditional Probability 1.4.31.4.3 Probability of an interse ction

3. 3 1.4.11.4.1 Probability of a union

4. 4 1.4.11.4.1

5. 5 1.4.11.4.1

6. Example 1 : 60% of the families in a certain community own their own car, 30% own their own home, and 20% own both their own car and their own home. If a family is randomly chosen, what is the probability that this family owns a car or a house ? 6 1.4.11.4.1 Probability of a union

7. Exercise: At a middle school, 18% of all students play football and basketball, 40% of all students play basketball and 32% of all students play football. If a student is randomly chosen, what is the probability that a student plays football or basketball? 7 1.4.11.4.1 Probability of a union

8. 1.4 Probabilities of combined events 1.4.11.4.1 Probability of a union 1.4.21.4.2 Conditional Probability 1.4.31.4.3 Probability of an interse ction

9. 9 1.4.21.4.2 Conditional Probability

10. 10 1.4.21.4.2 Conditional Probability Example 2: At a middle school, 18% of all students play football and basketball, and 32% of all students play football. What is the probability that a student who plays football also plays basketball?

11. The Multiplication Rule: 11 1.4.31.4.3 Probability of an interse ction

12. Example 3 : A school survey found that 7 out of 30 students walk to school. If three students are selected at random without replacement, what is the probability that all three walk to school? 12 1.4.31.4.3 Probability of an interse ction

13. The Multiplication Rule: 13 1.4.31.4.3 Probability of an interse ction

14. Example 4: A nationwide survey showed that 65% of all children in the United States dislike eating vegetables. If 4 children are chosen at random, what is the probability that all 4 dislike eating vegetables? 14 1.4.31.4.3 Probability of an interse ction