Embedded Files
Ämne / Topic
Ämne / Topic
Probability calculations involving complementary events.
Inlärningsmål / Learning Goals
Inlärningsmål / Learning Goals
Understand how to find complementary events
Be able to calculate the probability of a complementary event
Be able to use complementary events to find the probability of complicated events
Google Slides & Videos
Google Slides & Videos
Lektionssteg / Steps in the lesson:
Lektionssteg / Steps in the lesson:
- Lektionsuppvärmning / Lesson warm up / Hook / Review from previous lesson
Watch the video "23 and football birthdays".
Watch the video "23 and football birthdays".
2. Introduktion till lektionen / Introduction to the lesson content
2. Introduktion till lektionen / Introduction to the lesson content
3. Aktiviteter / Key Activities
3. Aktiviteter / Key Activities
Example:
Example:
Learners will watch a video which shows them how to find the probability.
Learners will watch a video which shows them how to find the probability.
The Probability of Complementary Events
The Probability of Complementary Events
1. A standard deck of cards has 52 cards.
1. A standard deck of cards has 52 cards.
a) What is the probability of drawing an ace from the shuffled deck of cards?
a) What is the probability of drawing an ace from the shuffled deck of cards?
b) What is the probability of drawing anything but an ace?
b) What is the probability of drawing anything but an ace?
2. A bag contains 12 identically shaped blocks, 3 of which are red and the remainder are green. The bag is well shaken and a single block is drawn.
2. A bag contains 12 identically shaped blocks, 3 of which are red and the remainder are green. The bag is well shaken and a single block is drawn.
a) What is the probability that the block is red?
a) What is the probability that the block is red?
b) What is the probability that the block is not red?
b) What is the probability that the block is not red?
Probability of the Complement of an Event
Probability of the Complement of an Event
Example:
Example:
1. An airline reports that 94% of its flights arrive on time. What is the probability that a flight will be late?
1. An airline reports that 94% of its flights arrive on time. What is the probability that a flight will be late?
2. In a bag containing 29 marbles, 5 of the marbles are red and 2 are green. What is the probability of randomly selecting a marble that is neither red nor green?
2. In a bag containing 29 marbles, 5 of the marbles are red and 2 are green. What is the probability of randomly selecting a marble that is neither red nor green?
4. Kolla vad eleverna kan / Check for understanding / Exit ticket
4. Kolla vad eleverna kan / Check for understanding / Exit ticket
Learners will complete these questions and hand them in to check if they understand the concept.
Learners will complete these questions and hand them in to check if they understand the concept.
Probability of Complementary Events and "At Least One" Probabilities
Probability of Complementary Events and "At Least One" Probabilities
"At least one" is equivalent to "one or more"
"At least one" is equivalent to "one or more"
The complement of getting at least one item of a particular type is that you get no items of that type.
The complement of getting at least one item of a particular type is that you get no items of that type.
Examples:
Examples:
1. Find the probability of couple having at least 1 boy among 4 children.
1. Find the probability of couple having at least 1 boy among 4 children.
2. A unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.
2. A unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.
3. Find the probability of selecting at least one blue marble from a bag of 5 blue and 4 green when 3 marbles are selected.
3. Find the probability of selecting at least one blue marble from a bag of 5 blue and 4 green when 3 marbles are selected.
5. Stängning / Closure / Summary of lesson
5. Stängning / Closure / Summary of lesson
Review the definition of mutually exclusive events.
Review the definition of mutually exclusive events.
Resurser & Materiel / Resources & Materials
Resurser & Materiel / Resources & Materials
http://webbapp.liber.se/matematikboken-z/#
http://webbapp.liber.se/matematikboken-z/#/5-sannolikhet-statistik
Textbook Practice
Ett pg. 234 no. 5038 abc, 5039 abc
Två pg. 235 no. 5042 abc, 5043 ab.
Tre pg. 236 no. 5045 ab, 5046, 5047.
Fyra pg. 236 / 237 no. 5049, 5050, 5051
Unit 5.3 Textbook Answers.pdfPage updated
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