California Mathmetics-G6-Ch9

本文系统地介绍了概率论的基础概念,包括简单事件、样本空间、排列与组合等,并详细讲解了独立事件与依赖事件的概率计算方法。此外,还探讨了理论概率与实验概率的区别。

Chapter 9: Probability
compound event
independent event
probability
sample space

9-1: Simple Events
outcome
simple event
probability
random
complementary event
A simple event is one outcome or a collection of outcomes.

9-2: Sample Spaces
sample space
tree diagram
fair game
The set of all of the possible outcomes in a probability experiment is called the sample space.

9-3: The Fundamental Counting Principle
Fundamental Counting Principle: If event M has m possible outcomes and event N has n possible outcomes, then event M followed by event N has m × n possible outcomes.

 

9-4: Permutations
A permutation is an arrangement, or listing, of objects in which order is important.
Mid-Chapter Quiz
9-5: Combinations
An arrangement, or listing, of objects in which order is not important is called a combination.
9-6: Problem-Solving Investigation
9-7: Theoretical and Experimental Probability
theoretical probability
experimental probability

Theoretical probability is based on what should happen when conducting a probability experiment. Experimental probability is based on what actually occurred during such an experiment.

9-8: Compound Events
compound event
independent events
dependent events
disjoint events
Probability of Independent Events
P(A and B) = P(A) · P(B)
Probability of Dependent Events
P(A and B) = P(A) • P(B following A)

Study Guide and Review

combination
complementary events
composite event
dependent events
disjoint events
experimental probability
Fundamental Counting
Principle
independent events
outcome
permutation
probability
random
sample space
simple event
theoretical probability
tree diagram

 

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