Curriculum / Math / 10th Grade / Unit 8: Probability / Lesson 10
Math
Unit 8
10th Grade
Lesson 10 of 10
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Describe and apply the counting principle and combinations to contextual and non-contextual situations.
The core standards covered in this lesson
S.CP.B.9 — Use permutations and combinations to compute probabilities of compound events and solve problems.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
This lesson covers S-CP.9 (+) standard, which is a plus standard and therefore an optional lesson in this unit.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
You bring your niece to Tasty Burger for lunch over break. She is notorious for not making a decision quickly, so you want to know just how many possibilities there are for putting together a Kids Meal. Here is the menu:
Kid's Meal
$5.95
How many choices does your niece have for a complete meal from Tasty Burger?
Your friend has a set of three cards with the letters $$A$$, $$B$$, and $$C$$ on them.
Situation 1: He says, “Choose one card and then another card. Order of the letters is important.” Situation 2: He tells you, “Choose two cards. Order of the letters is not important.”
Seven speed skaters are competing in an Olympic race. The top three skaters will move on to the semi-finals. It doesn’t matter whether you are first, second, or third to advance to the next round. How many different “top three” groups can be selected?
Precalculus and Advanced Topics > Module 5 > Topic A > Lesson 3 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Timika is a counselor at a summer camp for young children. She wants to take 20 campers on a hike and wants to choose a pair of students to lead the way. In how many ways can Timika choose this pair of children?
Sean has 56 songs on his MP3 player. He wants to randomly select 6 of the songs to use in a school project.
A fast-food restaurant has the following options for toppings on their hamburgers: mustard, ketchup, mayo, onions, pickles, lettuce, and tomato. In how many different ways could a customer choose four different toppings from these options?
Seven colored balls (red, blue, yellow, black, brown, white, and orange) are in a bag. A sample of three balls is selected without replacement. How many different samples are possible?
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 9
Topic A: Conditional Probability and the Rules of Probability
Describe the sample space of an experiment or situation. Use probability notation to identify the “and,” “or,” and complement outcomes from a given sample space.
7.SP.C.8 S.CP.A.1
Determine the probability of events with replacement using tree diagrams, addition rules for mutually exclusive events, and multiplication rules for compound events.
7.SP.C.7 S.CP.A.2 S.CP.A.4 S.CP.B.6 S.CP.B.7
Determine the probability of events without replacement using tree diagrams, addition rules for mutually exclusive events, and multiplication rules for compound events.
7.SP.C.7 S.CP.A.2 S.CP.B.6 S.CP.B.7 S.CP.B.8
Determine the probability of events that are not mutually exclusive to formalize the addition rule.
S.CP.A.1 S.CP.A.2 S.CP.B.7
Describe conditional probability and develop the rule $$P(B|A)=\frac{P(A \space \mathrm{and} \space B)}{P(A)}$$.
S.CP.A.3
Determine whether events are independent.
S.CP.A.2 S.CP.A.3 S.CP.A.5
Calculate and analyze relative frequencies in two-way tables to make statements about the data and determine independence.
S.CP.A.4 S.CP.A.5 S.ID.B.5
Make decisions about medical testing based on conditional probabilities.
S.CP.A.3 S.CP.A.4 S.CP.A.5
Describe and apply the counting principle and permutations to contextual and non-contextual situations.
S.CP.B.9
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