Chapter 11: Applications of Probability
Here you will learn to calculate probabilities of events, including unions of events and intersections of events. You will also learn about independence and conditional probability, and applications of these concepts in everyday life. You will learn to count large numbers of outcomes using permutations and combinations. Finally, you will use probability to think about fairness as you analyze games and decisions.
 11.1.
Descriptions of Events
 11.2.
Independent Events
 11.3.
Conditional Probability
 11.4.
TwoWay Frequency Tables
 11.5.
Everyday Examples of Independence and Probability
 11.6.
Probability of Unions
 11.7.
Probability of Intersections
 11.8.
Permutations and Combinations
 11.9.
Probability to Analyze Fairness and Decisions
Chapter Summary
You learned to describe events as well as unions of events, intersections of events, and complements of events. You learned that two events are independent if the result of one event does not change the probability of the other event occurring. You learned two ways to test for independence of events. Two events A and B are independent if:

P(A∩B)=P(A)P(B) 
P(AB)=P(A) and P(BA)=P(B)
You learned about conditional probability and its relationship to independence. You also explored some everyday examples of independence and conditional probability.
You learned how to find the probability of unions and intersections. You also learned how to use permutations and combinations to count the outcomes in an event or in a sample space in order to determine a probability.
Finally, you used your knowledge of probability to analyze games, decisions and strategies.
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