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Grade 7 Math Solutions Pages 93-94 Workbook 2 from Creative Horizon provides detailed solutions and guidance for exercises 1 to 5 in the lesson Introduction to Probability of Random Events. Students can refer to compare with their own work, enhancing their knowledge further.
Explore multiple excellent Grade 7 Math resources:
- Grade 7 Math Solutions Creative Horizon
- Grade 7 Math Page 55 Workbook 2 Knowledge Connection - Lesson 30: Introduction to Probability of Events
- Grade 7 Math Pages 32-33 Workbook 2 Kite - Lesson 6: Probability of Random Events in Some Simple Games
Grade 7 Math Solutions Pages 93-94 Workbook 2 from Creative Horizon
Introduction to Probability of Random Events
1. Solution for Exercise 1 Page 93 Math Textbook Grade 7
Problem: A circular cardboard is divided into 6 equal sections as shown in Figure 1. Minh places the cardboard flat on the table, rotates the arrow at the center, and observes which section the arrow points to when it stops.
Compare the probabilities of the following events:
A: 'The arrow points to a red section';
B: 'The arrow points to the section labeled 3';
C: 'The arrow points to a section labeled greater than 2'.
Guidelines:
When all outcomes of a game or random experiment have equal chances of occurring, the probability of each outcome is 1/n, where n is the number of outcomes.
Answer:
+ The circular cardboard has a total of 6 sections, of which 2 are red. Hence, the probability of event A is 1/3.
+ Since all 6 outcomes are equally likely, the probability of event B is 1/6.
+ There are 4 sections on the cardboard labeled greater than 2. Therefore, the probability of event C is 2/3.
Answer:
With 100 cards and each outcome having equal likelihood, and only 1 Lucky Card, the probability of selecting the Lucky Card is 1/100.
3. Solve Problem 3 Page 94 Math Textbook Grade 7
Problem:
a) A: 'Roll a die and get a face with 4 dots';
b) B: 'Roll a die and get a face with a number divisible by 5';
c) C: 'Roll a die and get a face with a multiple of ten dots'.
Solution:
When all outcomes of a game or random experiment are equally likely to occur, the probability of each outcome is 1/n, where n is the number of outcomes.
Answer:
When rolling a fair die, all 6 outcomes are equally likely, so the probability of event A is 1/6.
On a fair die, there is exactly one face with 5 dots, which is divisible by 5. Hence, the probability of event B is 1/6.
On a die, there are no faces with a number of dots that is a multiple of ten. Therefore, event C is an impossible event. Hence, the probability of event C is 0.
4. Solve Exercise 4 Page 94 Math Textbook Grade 7
Problem Statement: A dance team consists of 1 male and 5 female members. Randomly select 1 member for an interview. Knowing that each member has an equal chance of being chosen. Calculate the probability of selecting a male member.
Solution:
When all outcomes of a game or random experiment are equally likely to occur, the probability of each outcome is 1/n, where n is the number of outcomes.
Answer:
Since there are a total of 6 members and each member has an equal chance of being chosen, the probability of selecting a male member is 1/6.
5. Solve Exercise 5 Page 94 Math Textbook Grade 7
Problem Statement: The daily electricity consumption for the first 5 days of September 2021 by a household is provided in the chart below. Randomly select 1 day from those 5 days. Calculate the probability of the event 'Household consumes 10 kWh of electricity on the selected day'.
Solution:
When all outcomes of a game or random experiment are equally likely to occur, the probability of each outcome is 1/n, where n is the number of outcomes.
Answer:
Since there are 5 possible outcomes, the probability of the event 'Household consumes 10 kWh of electricity on the selected day' is 1/5.
This is the solution guide for Grade 7 Math problems on pages 93 and 94 of workbook 2. Students, refer to the solutions on page 96 of workbook 2 and review Exercise 1 on page 89 of workbook 2 to solidify your understanding.
- Grade 7 Math solutions on page 96 of workbook 2 from Creative Horizon - Final exercises of Chapter 9
- Grade 7 Math solutions on page 89 of workbook 2 from Creative Horizon - Exercise 1: Getting acquainted with random events
