MA.912.P.2.1Archived Standard

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Determine probabilities of complementary events, and calculate odds for and against the occurrence of events.

Remarks

Example: Suppose Antonio makes 75% of his foul shots in basketball. If he gets to attempt  two shots, what is the probability of his making at least one of the two shots? What are the odds against missing both shots?
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Probability
Idea: Level 2: Basic Application of Skills & Concepts
Standard: Determine Probabilities - Develop rules for finding probabilities of combined and complementary events. Understand and use conditional probability and the related Bayes’ Theorem.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived

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Alternate version of this benchmark for students with significant cognitive disabilities.

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Lesson Plan

The Monty Hall Problem or How to Outsmart a Game Show and Win a Car:

This lesson teaches students how to make decisions in the face of uncertainty by using decision trees. It is aimed for high school kids with a minimal background in probability; the students only need to know how to calculate the probability of two uncorrelated events both occurring (ie flipping 2 heads in a row). Over the course of this lesson, students will learn about the role of uncertainty in decision making, how to make and use a decision tree, how to use limiting cases to develop an intuition, and how this applies to everyday life.

Type: Lesson Plan

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