Một lớp học có 30 học sinh nam và 10 học sinh nữ. Giáo viên chủ nhiệm cần chọn một ban cán sự lớp gồm có 4 học sinh.
Tính xác suất để ban cán sự lớp có cả nam và nữ.
\(\frac{63775}{91390}\).
\(\frac{57990}{91390}\).
\(\frac{12695}{18278}\).
\(\frac{13055}{18278}\).
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Ta có \(n(\Omega)=C_{40}^{4}=91390\).
Gọi \(A\) là biến cố "4 học sinh trong ban cán sự có cả nam và nữ"
\(n(A)=C_{30}^{1} C_{10}^{3}+C_{30}^{2} C_{10}^{2}+C_{30}^{3} C_{10}^{1}=63775\).
Khi đó \(P(A)=\frac{n(A)}{n(\Omega)}=\frac{63775}{91390}\).
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Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions
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Theo em, có thể căn cứ vào yếu tố nào để phân loại thị trường?
Giấy clorua côban khi ướt sẽ có màu hồng, khi khô có màu xanh sáng. Người ta ép giấy tẩm clorua côban khô vào hai mặt lá khoai lang. Theo bạn kết luận nào dưới đây là chính xác?
Read the following passage about beginning a lifelong journey and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 23 to 30.
Lifelong learning is the continuous pursuit of knowledge and skills throughout a person's life. In today's world, where technology is evolving rapidly, lifelong learning is essential for both personal growth and career development. But just how does one go about becoming a lifelong learner?
The first step in becoming a lifelong learner is to develop a growth mindset. This means believing that your abilities can be developed through hard work, dedication and commitment. Embrace challenges, view mistakes as opportunities to learn, and be open to new ideas and perspectives. Adopting a growth mindset will help you approach learning with a positive attitude and a desire to improve.
Setting achievable goals is also an important part of lifelong learning. Goals give direction and motivation to your learning journey. First, identify areas of interest and choose specific skills or knowledge that you want to develop. Second, break your goals down into smaller, more manageable tasks and track your progress. Finally, celebrate your accomplishments along the way to stay motivated.
People learn in different ways, so it's also essential that you find the methods that work best for you. You can do this by trying out a variety of different learning methods, such as reading, watching videos, attending lectures and engaging in hands-on practice. At the same time, you should also experiment with different learning tools and techniques until you find what works best for you. Becoming a lifelong learner is a continuous process that requires dedication and effort. Developing a growth mindset, setting achievable goals, and using a variety of learning methods are essential steps to becoming a successful lifelong learner. By embracing learning as a lifelong journey, you will continue to grow, develop new skills, and stay relevant in today's ever-changing world.
(Adapted from Bright)
Which of the following best paraphrases the underlined sentence in paragraph 4?
Read of the following leaflet and mark the letter A, B, C or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 7 to 12.
The True Cost of Convenience: Facts That Will Change Your Habits
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The (9)_________ caused by single-use items affects our oceans and wildlife. (10)_________ their convenience, plastic straws harm marine animals.
The waste from our daily (11)_________ can take hundreds of years to decompose. A (12)_________ of people don't realize the impact of their daily choices on the environment.
Make small changes today for a better tomorrow! Choose reusable bags, bottles, and containers. Together, we can make a difference!
Đọc đoạn văn sau và trả lời câu hỏi:
“Văn học Việt Nam bao gồm các sáng tác ngôn từ với hai bộ phận lớn có quan hệ mật thiết với nhau: văn học dân gian và văn học viết. Văn học dân gian là sáng tác tập thể và truyền miệng của nhân dân lao động. Văn học Viết là sáng tác của trí thức, được ghi lại bằng chữ viết. Là sáng tạo của cá nhân, tác phẩm văn học viết mang dấu ấn của tác giả. ”
Đoạn văn trên sử dụng phương pháp thuyết minh nào?
Nhà nước thu thuế thu nhập đặc biệt nhằm mục đích nào sau đây?
Việc mã hóa thông tin thành dữ liệu nhị phân được gọi là?
Mỗi AO chỉ chứa tối đa
Cho bảng số liệu nhiệt độ trung bình năm, nhiệt độ trung bình tháng 1 và tháng 7 tại một số trạm quan trắc của nước ta năm 2022, đơn vị:℃ (nguồn Niên giám thống kê 2023, Nxb Thống kê, 2024)
Theo bảng số liệu và dựa vào kiến thức đã học, phát biểu nào sau đây đúng về chế độ nhiệt của nước ta?
Đâu là các đồng bằng ở miền Đông Trung Quốc theo thứ tự từ Bắc xuống Nam?
Một cách dễ gây mất an toàn khi mở một ổ đĩa ngoài là
Xác định biện pháp tu từ trong câu sau:
Chồng ta áo rách ta thương
Chồng người áo gấm xông hương mặc người.
Việt Nam có thể vận dụng nguyên tắc hoạt động nào của Liên hợp quốc để giải quyết vấn đề ở Biển Đông?
Mark the letter A, B, C or D on your answer sheet to indicate the best arrangement of utterances or sentences to make a meaningful exchange or text in each of the following questions from 13 to 17.
a. Many small islands face rising water levels because larger countries continue to burn fossil fuels, which is unfair to these vulnerable communities.
b. When countries work together on climate problems, they can find solutions that help our planet heal.
c. If we want to protect our Earth for future generations, we must support the agreements that bring countries together for climate action.
d. Trees that are planted through international programs help clean the air we breathe, while also creating homes for animals.
e. Although many nations signed important agreements, some countries still produce too much pollution, which damages our shared environment.
Một nhóm năm học sinh M, N, P, Q, R xếp thành một hàng dọc trước một quầy nước giải khát. Dưới đây là các thông tin ghi nhận được từ các thông tin trên:
+) M, P, R là nam; N, Q là nữ
+) M đứng ngay trước Q
+) N đứng ở vị trí thứ nhất hoặc thứ hai
+) Học sinh đứng sau cùng là nam
Nếu học sinh đứng thứ tư là nam thì câu nào sau đây sai?
Read the following passage about lifelong learning and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
[I] Lifelong learning is the ongoing, voluntary, and self-motivated pursuit of knowledge for personal or professional development (Knowles, 2020). [II] This concept emphasizes that learning does not stop after formal education, but rather continues throughout an individual's life, adapting to changing circumstances and needs. [III] In today’s fast-paced world, where technology and job markets evolve rapidly, lifelong learning has become increasingly essential. [IV]
One of the primary benefits of lifelong learning is its ability to enhance employability. Individuals who engage in continuous education are more likely to keep their skills relevant and competitive in the job market. According to a report by the World Economic Forum (2021), over 50% of employees will need reskilling due to technological advancements in the coming years. Lifelong learners are better equipped to adapt to these changes, making them more attractive candidates for employers.
Moreover, lifelong learning contributes to personal fulfillment and mental well-being. Engaging in new learning experiences can stimulate the brain, foster creativity, and improve cognitive function. Research indicates that individuals who pursue learning opportunities throughout their lives tend to report higher levels of happiness and life satisfaction (Smith & Johnson, 2019). Whether it is taking a course, learning a new language, or picking up a new hobby, the process of acquiring knowledge can be enriching and enjoyable.
In addition, lifelong learning promotes social engagement and community involvement. Participating in educational programs or community workshops can foster connections with others who share similar interests. This social aspect of learning can enhance one's sense of belonging and support networks, which are crucial for mental health (Jones, 2022).
Overall, lifelong learning is not just an individual responsibility; it requires support from educational institutions, employers, and communities to create an environment conducive to continuous education. By fostering a culture of learning, society can better prepare individuals for the challenges of the future and ensure that everyone has the opportunity to thrive.
(Adapted from The Importance of Lifelong Learning by Knowles, Smith, Johnson, and others)
Which of the following best summarizes the passage?
Ngành công nghiệp nào sau đây của Trung Quốc đứng đầu thế giới?