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Solving 7th-grade Math on page 96 Workbook 2 in the Horizon of Creativity Book is a valuable Math resource for 7th-grade students. With detailed solutions for exercises 1 to 5 in Chapter 9 of the textbook, students can easily complete and reinforce their learning effectively.
Explore more 7th-grade Math resources: - Solving 7th-grade Math in the Horizon of Creativity Book - Solving 7th-grade Math on page 102 Workbook 2 in the Knowledge Connection Book - Exercises at the end of Chapter 10 - Solving 7th-grade Math on page 119, 120 Workbook 2 in the Kite Book - Exercises at the end of Chapter 7
Solving 7th-grade Math on page 96 Workbook 2 - Horizon of Creativity Book
Exercise at the end of Chapter 9
1. Solving Exercise 1 Page 96 Mathematics Textbook Grade 7
Problem: On the bookshelf, there are 3 comic books and 1 textbook. An randomly selects 2 books from the shelf. Among the following events, identify the certain, impossible, and random events. Why?
A: 'An selects 2 comic books';
B: 'An selects at least 1 comic book';
C: 'An selects 2 textbooks'.
Solution:
The certain event is an event that always occurs.
The impossible event is an event that never occurs.
A random event is an event that cannot be known in advance whether it will occur or not.
Answer:
Since An randomly selects 2 books from the shelf, those 2 books could be 2 comic books or 1 comic book and 1 textbook. Therefore, events A and B are random events.
Since there is only 1 textbook on the shelf, event C is an impossible event.
2. Solve Exercise 2 Page 96 Mathematics Textbook Grade 7
Problem: Roll two fair dice. Compare the probabilities of the following events:
A: 'The sum of the dots on the upper faces of the two dice is an even number';
B: 'The number of dots on the upper faces of the two dice is both 6';
C: 'The number of dots on the upper faces of the two dice is equal.'
Solution: When all outcomes of a game or random experiment are equally likely, the probability of each outcome is 1/n, where n is the number of outcomes.
Answer:
3. Solve Exercise 3 Page 96 Mathematics Textbook Grade 7
Problem: A box contains 4 cards with the same size and are numbered 2, 4, 6, 8 respectively. Randomly pick one card from the box. Calculate the probabilities of the following events:
A: 'Drawing a card with a prime number';
B: 'Drawing a card with an odd number';
C: 'Drawing a card with an even number';
Solution: When all outcomes of a game or random experiment are equally likely, the probability of each outcome is 1/n, where n is the number of outcomes.
Answer:
When randomly picking one card from the box, there are 4 equally likely possibilities. Among the 4 cards, only 1 card has a prime number (the card with the number 2), none of the cards has an odd number, and all 4 cards have even numbers.
The probability of event A is: 1/4.
Because event B is an impossible event, the probability of event B is 0.
Because event C is a certain event, the probability of event C is 1.
4. Solve Exercise 4 Page 96 Mathematics Textbook Grade 7
Problem: A sealed box contains 5 spheres with the same size and weight, including 1 green sphere and 4 red spheres. Randomly pick one sphere from the box. Calculate the probabilities of the following events:
A: 'The drawn sphere is yellow';
B: 'The drawn sphere is green'.
Solution: When all outcomes of a game or random experiment are equally likely, the probability of each outcome is 1/n, where n is the number of outcomes.
Answer:
When randomly picking one sphere from the box, there are 5 equally likely possibilities.
Because there are no yellow spheres in the box, event A is an impossible event. Therefore, the probability of event A is 0.
Because there is only 1 green sphere, the probability of event B is 1/5.
5. Solve Exercise 5 Page 96 Mathematics Textbook Grade 7
Problem: The chart below illustrates the number of middle school students in Phu Tho province from 2010 to 2019.
Randomly select one year from that period. Knowing that the probability of selecting any year is the same.
a) State the set of possible outcomes for the selected year.
b) Let B be the event 'Phu Tho province has over 85,000 middle school students in the selected year'. Calculate the probability of event B.
Solution: When all outcomes of a game or random experiment are equally likely, the probability of each outcome is 1/n, where n is the number of outcomes.
Answer:
a) The set of possible outcomes for the selected year is:
{2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019}.
b) B = {2019}
Since the probability of selecting any year is the same, the probability of event B is 1/10.
Here is the guidance for solving math class 7 page 96 volume 2. Students can review math class 7 page 93, 94 volume 2 to reinforce their knowledge.
- Solve Math class 7 page 93, 94 volume 2 in the book 'Chân Trời Sáng Tạo' - Exercise 2: Getting familiar with the probability of random events
