Overview

Site: Clare-Gladwin RESD
Course: Michigan Algebra II KHauck
Book: Overview
Printed by: Guest user
Date: Tuesday, November 26, 2024, 12:30 AM

Description

Table of contents

Overview

Probability is the ratio of favorable outcomes to total outcomes. It explains the chances of an event occurring. Whenever you weigh the odds of whether or not to do your homework or study for an exam, you are using probability. Politicians study polls to hypothesize their likelihood of winning an election. Teachers choose a particular course of study based on what they think students will understand. Doctors choose the treatments needed for various diseases based on their assessment of likely results.

In this unit, you will learn to solve probability problems using a systematic approach. By the end of this unit, you will be able to understand and use the terminology of probability including combinations, permutations, and counting principles and use them to determine the number of possible outcomes. You will also be able to determine whether two events are mutually exclusive and whether two events are independent.


Expectations

MI Alg2 High School Content Expectations
Addressed Within the Probability and Counting Unit


L1.2.1 Use mathematical symbols to represent quantitative relationships and situations.

L1.3.1 Describe, explain, and apply various counting techniques; relate combinations to Pascal's triangle; know when to use each technique.

*L1.3.2 Define and interpret commonly used expressions of probability

*L1.3.3 Recognize and explain common probability misconceptions such as "hot streaks" and "being due."

*S4.1.1 Understand and construct sample spaces in simple situations (e.g., tossing two coins, rolling two number cubes and summing the results).

*S4.1.2 Define mutually exclusive events, independent events, dependent events, compound events, complementary events and conditional probabilities; and use the definitions to compute probabilities.

*S4.2.1 Compute probabilities of events using tree diagrams, formulas for combinations and permutations, Venn diagrams, or other counting techniques.

*S4.2.2 Apply probability concepts to practical situations, in such settings as finance, health, ecology, or epidemiology, to make informed decisions.


*Expectation was removed from the Algebra 2 course, but is still required by the State of Michigan.