ALEX Classroom Resources

   View Standards     Standard(s): [MA2015] PRE (9-12) 54 :

54 ) (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. [S-MD5]

a. Find the expected payoff for a game of chance. [S-MD5a]

Examples: Find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.

b. Evaluate and compare strategies on the basis of expected values. [S-MD5b]

Example: Compare a high-deductible versus a low-deductible automobile insurance policy using various, but reasonable, chances of having a minor or a major accident.

Probability is the study of chance or the likelihood that an event will occur. Probability can’t tell us what will happen, only what is likely to happen. At the end of this lesson about probability, students will be able to calculate probability for real-life situations. 

   View Standards     Standard(s): [MA2015] AL2 (9-12) 38 :

38 ) (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). [S-MD7]

[MA2015] ALT (9-12) 42 :

42 ) (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). [S-MD7]

[MA2015] PRE (9-12) 54 :

54 ) (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. [S-MD5]

a. Find the expected payoff for a game of chance. [S-MD5a]

Examples: Find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.

b. Evaluate and compare strategies on the basis of expected values. [S-MD5b]

Example: Compare a high-deductible versus a low-deductible automobile insurance policy using various, but reasonable, chances of having a minor or a major accident.

[MA2015] GEO (9-12) 43 :

43 ) (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). [S-MD7] (Alabama)

Example:

What is the probability of tossing a penny and having it land in the non-shaded region'

Geometric Probability is the Non-Shaded Area divided by the Total Area.

This interactive teaches and provides practice in the identification of odds, the conversion of odds to probabilities and probabilities to odds, and the comparison of odds and probability events. This game is recommended for grades 9 -12. 

   View Standards     Standard(s): [MA2015] AL2 (9-12) 37 :

37 ) (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [S-MD6]

[MA2015] AL2 (9-12) 38 :

38 ) (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). [S-MD7]

[MA2015] ALT (9-12) 41 :

41 ) (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [S-MD6]

[MA2015] ALT (9-12) 42 :

42 ) (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). [S-MD7]

[MA2015] PRE (9-12) 54 :

54 ) (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. [S-MD5]

a. Find the expected payoff for a game of chance. [S-MD5a]

Examples: Find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.

b. Evaluate and compare strategies on the basis of expected values. [S-MD5b]

Example: Compare a high-deductible versus a low-deductible automobile insurance policy using various, but reasonable, chances of having a minor or a major accident.

Module 5, Topic C is a capstone topic for this module, where students use what they have learned about probability and expected value to analyze strategies and make decisions in a variety of contexts (S.MD.B.5a, S.MD.B.5b, S.MD.B.6, S.MD.B.7). Students use probabilities to make a fair decision and explain how to make fair an “unfair” decision. Students analyze simple games of chance as they calculate and interpret the expected payoff in context. They make decisions based on expected values in problems with business, medical, and other contexts. They also examine and interpret what it means for a game to be fair. Interpretation and explanations of expected values are important outcomes for Topic C.

Note: This module is identified as Precalculus and Advanced Topics in the EngageNY curriculum. It also corresponds to the Algebra II and Algebra II with Trigonometry Alabama Courses of Study.