Probability JSS 3 Third Term
Lesson Plan Presentation
Subject: Mathematics
Class: JSS 3
Term: Third Term
Week: 4
Topic: Probability
Sub-topic: Word Problems on Probability
Duration: 45 minutes
Entry Behaviour:
Recall what you learned about statistics and averages in the previous class.
Key Words:
Probability, outcomes, events, favorable, possible, likelihood.
Behavioural Objectives:
By the end of the lesson, students should be able to:
- Define probability.
- Solve word problems involving probability.
- Calculate the likelihood of different outcomes.
Embedded Core:
Critical thinking, problem-solving, and application of mathematical concepts.
Learning Materials:
Chalkboard, chalk, worksheets, dice, colored counters.
Content:
- What is probability?
- Probability is the likelihood or chance of an event happening, expressed as a fraction between 0 (impossible) and 1 (certain).
- Define favorable outcomes.
- Favorable outcomes are the successful or desired outcomes in an experiment or event.
- Explain the concept of events in probability.
- Events in probability refer to specific outcomes or occurrences within a given experiment or situation.
- If you roll a fair six-sided die, what is the probability of getting a 3?
- The probability of rolling a 3 on a fair six-sided die is 1/6.
- In a box with 10 red balls and 5 blue balls, what is the probability of selecting a red ball?
- The probability of selecting a red ball is 10/15, which simplifies to 2/3.
- Solve the probability word problem: “If you flip a coin twice, what is the probability of getting two heads?”
- The probability of getting two heads in consecutive coin flips is 1/4.
- Why is understanding the context important when solving probability word problems?
- Understanding the context helps interpret the problem correctly and apply the relevant probability concepts to real-world situations.
- If you draw a card from a standard deck of 52 cards, what is the probability of drawing a heart?
- The probability of drawing a heart is 1/4, as there are 4 suits in a deck, and each suit has one-fourth of the total cards.
- Discuss the difference between possible and favorable outcomes.
- Possible outcomes are all potential results in an experiment, while favorable outcomes are the specific ones considered successful or desired.
- Calculate the probability of rolling an even number on a six-sided die.
- The probability of rolling an even number on a six-sided die is 1/2, as there are three even numbers (2, 4, 6) out of six possible outcomes.
A fair six-sided die is thrown. Find the possibility of getting the following.
- a4
- a3
- a9
- a l or a 2
- an even number
- a number less than 5
A letter is chosen at random from the alphabet. Find the probability that it is
a N
b either A or B
C one of the letters of the word RANDOM d one of the letters of the word CHOICE
A man has three white shirts, two blue shirts and five red shirts. He picks one at random. What is the probability that it is
a white, b blue, c red, d net red?
What is the probability that an integer chosen at random between and including 1 and 10 is even?
A number is chosen at random from the set of numbers 41, 42, 55, 56. What is the probability that it is a a multiple of 9,
b a prime number?
A box contains 20 bottles of Fanta and four bottles of Sprite. A bottle is chosen at random. What is the probability that it is a Fanta, b Sprite, c either Fanta or Sprite, d neither Fanta nor Sprite?
In a school of 500 students, one student is selected at random to represent the school in a debate. There are 25 students in the final year class.
What is the probability that the student chosen will be from the final year?
Given the data in question 15, Exercise R4d, what is the probability that a person chosen at random from the factory earns more than #1/200 per day?
- For rolling a fair six-sided die:
a. P(4) = 1/6
b. P(3) = 1/6
c. P(9) = 0 (not possible)
d. P(2) = 1/6
e. P(even) = 3/6 = 1/2
f. P(<5) = 4/6 = 2/3 -
For choosing a letter from the alphabet:
a. P(N) = 1/26
b. P(A or B) = 2/26 = 1/13
c. P(RANDOM) = 6/26 = 3/13
d. P(CHOICE) = 6/26 = 3/13 -
Probability of picking a shirt:
a. P(white) = 3/10
b. P(blue) = 2/10
c. P(red) = 5/10 = 1/2
d. P(not red) = 5/10 = 1/2 -
Probability an integer from 1 to 10 is even:
P(even) = 5/10 = 1/2 -
Probability from the set {41, 42, 55, 56}:
a. P(multiple of 9) = 1/4
b. P(prime) = 2/4 = 1/2 -
Probability of choosing Fanta or Sprite from the box:
a. P(Fanta) = 20/24 = 5/6
b. P(Sprite) = 4/24 = 1/6
c. P(either) = P(Fanta) + P(Sprite) = 5/6 + 1/6 = 1
d. P(neither) = 0 -
Probability of choosing a final year student from a school of 500:
P(final year) = 25/500 = 1/20 -
Probability of earning more than #1/200 per day:
(Additional data needed from question 15, Exercise R4d)
Class Activity
- When rolling a fair six-sided die, the probability of getting a 4 is ____.
a. 1/4
b. 1/6
c. 1/2
d. 1/3 - If a letter is chosen randomly from the alphabet, the probability of selecting the letter ‘N’ is ____.
a. 1/26
b. 1/13
c. 1/52
d. 1/20 - When picking a shirt randomly from a collection of white, blue, and red shirts, the probability of selecting a blue shirt is ____.
a. 1/10
b. 1/2
c. 2/10
d. 1/5 - The probability of choosing an even number from 1 to 10 is ____.
a. 1/10
b. 1/5
c. 1/2
d. 1/4 - In the set {41, 42, 55, 56}, the probability of selecting a multiple of 9 is ____.
a. 1/4
b. 1/2
c. 1/3
d. 1/5 - When choosing a bottle at random from a box containing 20 Fanta and 4 Sprite, the probability of getting Sprite is ____.
a. 1/6
b. 1/2
c. 1/4
d. 1/8 - If a student is randomly chosen from a school of 500, the probability of selecting a final year student is ____.
a. 1/500
b. 1/25
c. 1/50
d. 1/20 - From the information in question 15, Exercise R4d, the probability that a person chosen at random from the factory earns more than #1/200 per day is ____.
a. Insufficient data
b. 1/2
c. 1/10
d. 1/4 - When rolling a fair six-sided die, the probability of getting an odd number is ____.
a. 1/6
b. 1/3
c. 1/2
d. 2/3 - If a letter is chosen randomly from the alphabet, the probability of selecting either ‘A’ or ‘B’ is ____.
a. 1/13
b. 2/26
c. 1/26
d. 2/13 - When picking a shirt randomly from the collection of white, blue, and red shirts, the probability of not selecting a red shirt is ____.
a. 1/2
b. 1/3
c. 1/5
d. 1/4 - The probability of choosing a prime number from 1 to 10 is ____.
a. 1/2
b. 1/3
c. 1/5
d. 1/4 - In the set {41, 42, 55, 56}, the probability of selecting a number that is not a multiple of 9 is ____.
a. 1/4
b. 1/2
c. 2/3
d. 3/4 - When choosing a bottle at random from a box containing 20 Fanta and 4 Sprite, the probability of getting neither Fanta nor Sprite is ____.
a. 0
b. 1/2
c. 1/4
d. 1/6 - If a student is randomly chosen from a school of 500, the probability of not selecting a final year student is ____.
a. 19/20
b. 24/25
c. 1/20
d. 1/25
Presentation
Step 1: Revision (10 min)
- Recap the key concepts from the previous class on statistics and averages.
- Discuss any challenges or questions students may have.
Step 2: Introduction to Probability (10 min)
- Define probability as the likelihood of an event happening.
- Explain the concept of outcomes and events.
- Introduce terms like favorable and possible outcomes.
Step 3: Word Problems on Probability (25 min)
Teacher’s Activities:
- Present word problems related to probability.
- Guide students through solving each problem step by step.
- Emphasize the importance of understanding the context of the problem.
Learners Activities:
- Engage students in solving probability word problems individually and in groups.
- Encourage discussions among students to foster a collaborative learning environment.
Assessment:
- Monitor students’ participation and understanding during group activities.
- Review individual problem-solving abilities.
Evaluation:
- What is probability?
- Define favorable outcomes.
- Explain the concept of events in probability.
- If you roll a fair six-sided die, what is the probability of getting a 3?
- In a box with 10 red balls and 5 blue balls, what is the probability of selecting a red ball?
- Solve the probability word problem: “If you flip a coin twice, what is the probability of getting two heads?”
- Why is understanding the context important when solving probability word problems?
- If you draw a card from a standard deck of 52 cards, what is the probability of drawing a heart?
- Discuss the difference between possible and favorable outcomes.
- Calculate the probability of rolling an even number on a six-sided die.
Conclusion:
- Review the key concepts covered in the lesson.
- Address any remaining questions or concerns.
- Circulate to assess and provide feedback on students’ understanding of the topic.
