Subject: Mathematics
Class: Junior Secondary School 2 (JSS 2)
Term: Third Term
Week: 9
Topic: Probability
✍️ Written by: Mrs. Emily Bolujo – The Sovereign Educator | Lessonshabitat.com
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LESSON TITLE: Understanding Basic Probability
DURATION: 40 minutes – 1 hour
CURRICULUM STANDARD: Nigerian NERDC Curriculum for Mathematics (JSS2 – Week 9)
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Learning Objectives:
By the end of the lesson, students should be able to:
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Define probability in simple terms.
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Identify the possible outcomes of an event.
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Calculate the probability of an event using fractions.
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Apply probability to real-life situations (e.g. tossing coins, selecting names, drawing cards).
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Keywords:
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Probability
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Outcomes
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Likelihood
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Event
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Impossible
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Certain
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Fraction
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Experiment
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✳️ SET INDUCTION (Story-Based Introduction):
“Chinedu and Amina were playing a game of chance during break time. They took a coin and agreed: ‘If it lands on HEADS, I win, if it lands on TAILS, you win.’ As they played, Chinedu noticed something — sometimes he won, sometimes he lost. He asked, ‘Is there a way to know how likely I am to win?’”
Teacher to class: “If you were Chinedu, how would you measure your chances of winning? That, my children, is the power of probability — a tool to understand chances in life and math.”
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ENTRY BEHAVIOUR:
The teacher asks:
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“Who has played a game with dice before?”
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“When you pick a card from a shuffled deck, do you know which one you’ll get?”
Learners are allowed to share brief experiences.
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TEACHING METHODS & RESOURCES:
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Interactive discussion
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Practical demonstrations (coins, dice, colored papers)
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Board work
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Activity sheets
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LESSON EXPLANATION:
1. What is Probability?
Probability is the measure of how likely an event is to happen.
2. Common Probability Words:
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Certain (It must happen)
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Likely (It may happen)
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Unlikely (It probably won’t happen)
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Impossible (It can never happen)
3. Calculating Probability:
Formula:
Probability of an event =
Number of favourable outcomes ÷ Total number of possible outcomes
Example 1:
If you toss a coin, there are 2 possible outcomes: Head or Tail.
What is the probability of getting a Head?
Answer: 1 ÷ 2 = ½
Example 2:
A bag contains 3 red balls and 2 blue balls. What is the probability of picking a red ball?
Total balls = 5
Red balls = 3
Probability = 3 ÷ 5 = ⅗
4. Real-Life Examples in Nigeria:
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Tossing a coin before a football match
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Selecting a prefect’s name from a hat
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Drawing a lucky number in a raffle draw
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Guessing the gender of a newborn baby (boy or girl)
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CLASS ACTIVITY:
Provide each group with:
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1 coin
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1 dice
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Small colored papers (red, blue, green)
Instructions:
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Toss the coin 10 times. Record how many times Head appears.
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Roll the dice 12 times. Record how many times number “4” shows.
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Pick one colored paper randomly without looking. Return and repeat 10 times. Record color outcomes.
Each group calculates the probability of each result.
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TEACHER-PUPIL INTERACTION (Sample Dialogue):
Teacher: “If I roll a fair die, what’s the chance I’ll get number 7?”
Student: “Number 7 doesn’t exist on a die!”
Teacher: “Exactly! So the probability is…?”
Class: “Zero! Impossible!”
Teacher: “Excellent. That’s how probability helps us reason logically.”
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BOARD SUMMARY:
Event | Favourable Outcome | Total Outcome | Probability |
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Tossing a coin (get Head) | 1 | 2 | ½ |
Picking red from 3 red, 2 blue | 3 | 5 | ⅗ |
Rolling a die (get 3) | 1 | 6 | ⅙ |
Part A: 15 Fill-in-the-Gap Questions (With Options)
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The probability of an event happening is always between ______ and ______.
A. 0 and 2
B. 0 and 10
C. 0 and 1
D. 1 and 100
Answer: C -
If you toss a fair coin, the probability of getting a Head is ______.
A. 1
B. ½
C. 0
D. 2
Answer: B -
Probability deals with ______ of events happening.
A. addition
B. subtraction
C. likelihood
D. length
Answer: C -
An event that will never happen is said to be ______.
A. possible
B. likely
C. certain
D. impossible
Answer: D -
The total number of outcomes when tossing a die is ______.
A. 5
B. 6
C. 10
D. 12
Answer: B -
A bag contains 3 red balls and 2 blue balls. The probability of picking a red ball is ______.
A. ⅗
B. ½
C. ⅖
D. 2⁄3
Answer: A -
If a coin is tossed once, there are ______ possible outcomes.
A. 1
B. 2
C. 3
D. 4
Answer: B -
A certain event has a probability of ______.
A. 0
B. ½
C. 1
D. 10
Answer: C -
If an event is impossible, its probability is ______.
A. 0
B. ½
C. 1
D. 2
Answer: A -
A die has ______ faces.
A. 4
B. 5
C. 6
D. 7
Answer: C -
If a student randomly selects a day from a week, the probability of choosing Monday is ______.
A. 1/5
B. 1/6
C. 1/7
D. 1/3
Answer: C -
A bag contains 4 white beads and 1 black bead. The probability of picking the black bead is ______.
A. 1/2
B. 1/5
C. 2/5
D. 4/5
Answer: B -
Events that cannot happen at the same time are called ______ events.
A. impossible
B. equal
C. separate
D. mutually exclusive
Answer: D -
A probability of ½ means the event is ______.
A. certain
B. impossible
C. equally likely to occur or not occur
D. not likely
Answer: C -
In probability, the number of outcomes that favor an event is called the ______ outcome.
A. false
B. favourable
C. average
D. equal
Answer: B
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Part B: 10 Evaluation Questions
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What is probability?
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If you roll a die, what is the probability of getting number 2?
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Give an example of an impossible event.
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A box contains 5 blue pens and 5 red pens. What is the probability of picking a red pen?
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If you toss a coin twice, what are the possible outcomes?
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List three examples of real-life activities that involve probability.
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What is the difference between a certain and an unlikely event?
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A pupil picks one fruit from a basket containing only mangoes and oranges. What is the probability of picking a mango?
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What is meant by the total number of possible outcomes in an event?
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Why is probability useful in everyday life?
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Part C: 10 Frequently Asked Questions (FAQs) about Probability for JSS 2
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Q: What is probability in simple words?
A: Probability is the chance of something happening. It tells us how likely an event is to occur. -
Q: Can probability be more than 1?
A: No, probability is always between 0 (impossible) and 1 (certain). -
Q: What is the meaning of “favourable outcome”?
A: It is the outcome you are hoping or looking for in an experiment. -
Q: Is tossing a coin a fair way to decide something?
A: Yes, because each side (Head or Tail) has an equal chance of appearing. -
Q: How many outcomes does a die have?
A: A die has 6 outcomes: 1, 2, 3, 4, 5, and 6. -
Q: What does a probability of ½ mean?
A: It means the event has an equal chance of happening or not happening. -
Q: Can a probability be written as a percentage?
A: Yes. For example, ½ = 50%. -
Q: What is the probability of getting an even number on a die?
A: There are 3 even numbers (2, 4, 6), so the probability = 3/6 = ½. -
Q: What are some real-life examples of probability?
A: Tossing a coin, drawing raffle tickets, weather forecasts, picking a colored card from a bag. -
Q: How do we know if an event is impossible?
A: If it can never happen — like rolling a 7 on a 6-sided die — then it is impossible (probability = 0).
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EVALUATION QUESTIONS:
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Define probability.
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If a die is rolled, what is the probability of getting a 5?
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A bag contains 4 blue balls and 1 green ball. What is the probability of picking a green ball?
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What is the probability of getting a tail when a coin is tossed?
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What is the meaning of “impossible” in probability?
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List two real-life events that involve probability.
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What is the total number of outcomes in tossing a coin?
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Why must probability be between 0 and 1?
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Can the probability of an event be more than 1? Explain.
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If 3 out of 10 students picked mango juice, what’s the probability a student picked mango?
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ASSIGNMENT:
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Draw a table showing all the possible outcomes of rolling a dice and tossing a coin once.
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Solve: A bag has 2 red pens, 3 blue pens, and 5 green pens. What is the probability of picking a blue pen?
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HOME CONNECTION:
Ask your parent or guardian to help you observe an event at home where chance is involved — like picking a spoon from a set, guessing what’s for dinner, or flipping a coin. Write down the outcomes and describe the probability!
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