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Statistics and Probability

Statistics and Probability relates to CBSE/Class 9/Mathematics

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Hello dear students, I am PRANJAL MISHRA, I teach Mathematics (upto A level) . I can improve your understanding in Mathematics using my innovative...

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I am a teacher of mathematics. I am giving online tuitions and tuitions at my home in Jaipur(Rajasthan). I have done M.Sc. , B.Ed. in mathematics....

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This is Debabrato Chatterjee online Maths and Science tutor having 13+years of experience. I have already and presently teaching students of IB,...

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Statistics and Probability Questions

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Answered on 02/02/2024 Learn CBSE/Class 9/Mathematics/Statistics and Probability/Probability

Pooja R. Jain

Understanding probability is a fundamental aspect of Class 10 tuition coaching. In this context, we'll explore the probabilities associated with a coin toss. UrbanPro.com connects students with experienced tutors specializing in Class 10 tuition coaching, ensuring a strong grasp of mathematical... read more

Understanding probability is a fundamental aspect of Class 10 tuition coaching. In this context, we'll explore the probabilities associated with a coin toss. UrbanPro.com connects students with experienced tutors specializing in Class 10 tuition coaching, ensuring a strong grasp of mathematical concepts.

Heading 1: Analyzing the Coin Toss Data: Let's delve into the provided information about a coin being tossed 150 times, with 115 heads and 35 tails.

Heading 2: Calculating Probability - Head and Tail: We'll calculate the probabilities for getting a head and a tail based on the given data.

Sub-heading 1: Probability of Getting a Head:

  • Number of times head appears = 115
  • Total number of tosses = 150
  • Probability of getting a head (P(H)) = Number of favorable outcomes / Total number of outcomes
  • P(H) = 115 / 150

Sub-heading 2: Probability of Getting a Tail:

  • Number of times tail appears = 35
  • Total number of tosses = 150
  • Probability of getting a tail (P(T)) = Number of favorable outcomes / Total number of outcomes
  • P(T) = 35 / 150

Heading 3: UrbanPro's Expert Math Tutors - Navigating Probability Concepts: Let's explore how UrbanPro.com enhances your understanding of probability through Class 10 tuition coaching.

  • Concept Clarity: UrbanPro's registered tutors provide clear explanations, ensuring students comprehend probability concepts with ease.
  • Practice Sessions: Tutors conduct practice sessions, helping students apply probability principles to various scenarios.
  • Real-Life Applications: UrbanPro's tutors relate probability concepts to real-life situations, making learning engaging and practical.

Heading 4: Why Choose UrbanPro for Class 10 Tuition Coaching?

  • Qualified Tutors: UrbanPro verifies the qualifications of its tutors, ensuring students receive guidance from qualified and experienced educators.
  • Customized Learning Plans: Tutors on UrbanPro tailor lessons to individual learning styles, ensuring effective understanding of mathematical concepts.
  • Proven Academic Results: Many students have excelled in mathematics through UrbanPro's platform, attesting to the effectiveness of our tuition coaching.

Conclusion: Excel in Probability with UrbanPro's Guidance: In conclusion, UrbanPro.com stands as the preferred platform for mastering probability concepts in Class 10 tuition coaching. Our experienced tutors guide students through probability calculations, providing a solid foundation in mathematical principles. Join UrbanPro for trusted tuition coaching and enhance your mathematical skills. Success in probability awaits you with UrbanPro's expert tutors!

 
 
 
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Answered on 02/02/2024 Learn CBSE/Class 9/Mathematics/Statistics and Probability/Probability

Pooja R. Jain

Probability problems add an intriguing dimension to Class 10 tuition coaching. In this scenario, we'll explore the likelihood of obtaining a sum of 9 from cards drawn from two distinct bags. UrbanPro.com connects students with qualified tutors specializing in Class 10 tuition coaching, ensuring a... read more

Probability problems add an intriguing dimension to Class 10 tuition coaching. In this scenario, we'll explore the likelihood of obtaining a sum of 9 from cards drawn from two distinct bags. UrbanPro.com connects students with qualified tutors specializing in Class 10 tuition coaching, ensuring a comprehensive understanding of mathematical concepts.

Heading 1: Understanding the Card Setup: Let's begin by comprehending the composition of Bag-I and Bag-II, each containing cards with specific numbers.

Heading 2: Calculating Probability for a Sum of 9: Now, let's determine the probability of drawing two cards whose sum is 9, considering one card from each bag.

Sub-heading 1: Possible Combinations for a Sum of 9:

  • Analyze the potential pairs that result in a sum of 9: (2, 7), (4, 5), (5, 4), (7, 2).

Sub-heading 2: Probability Calculation:

  • Number of favorable outcomes = 4 (as there are four favorable pairs)
  • Total number of possible outcomes = (Number of cards in Bag-I) * (Number of cards in Bag-II) = 4 * 3 = 12
  • Probability of getting a sum of 9 (P(9)) = Number of favorable outcomes / Total number of possible outcomes
  • P(9) = 4 / 12

Heading 3: UrbanPro's Expert Math Tutors - Guiding Probability Understanding: Let's explore how UrbanPro.com enriches your understanding of probability through Class 10 tuition coaching.

  • Conceptual Clarity: UrbanPro's registered tutors provide clear explanations, ensuring students grasp probability concepts effectively.
  • Problem-Solving Techniques: Tutors employ various problem-solving techniques, equipping students to handle diverse probability scenarios.
  • Interactive Learning: UrbanPro's tutors engage students through interactive sessions, fostering a deeper understanding of mathematical concepts.

Heading 4: Why Opt for UrbanPro's Class 10 Tuition Coaching?

  • Experienced Tutors: UrbanPro verifies the experience and qualifications of its tutors, ensuring students receive guidance from seasoned educators.
  • Personalized Coaching: Tutors tailor lessons to individual learning needs, ensuring a customized and effective learning experience.
  • Proven Success Stories: Many students have excelled in mathematics through UrbanPro's platform, showcasing the effectiveness of our tuition coaching.

Conclusion: Master Probability with UrbanPro's Expertise: In conclusion, UrbanPro.com serves as the go-to platform for mastering probability concepts in Class 10 tuition coaching. Our experienced tutors guide students through intricate probability problems, providing a solid foundation in mathematical principles. Join UrbanPro for trusted tuition coaching and elevate your mathematical skills. Success in probability awaits you with UrbanPro's expert tutors!**

 
 
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Answered on 02/02/2024 Learn CBSE/Class 9/Mathematics/Statistics and Probability/Probability

Pooja R. Jain

Probability calculations play a crucial role in Class 10 tuition coaching, shaping a solid understanding of mathematical concepts. In this scenario, we'll explore the likelihood of drawing a red or a black ball from a bag containing various colored balls. UrbanPro.com connects students with experienced... read more

Probability calculations play a crucial role in Class 10 tuition coaching, shaping a solid understanding of mathematical concepts. In this scenario, we'll explore the likelihood of drawing a red or a black ball from a bag containing various colored balls. UrbanPro.com connects students with experienced tutors specialized in Class 10 tuition coaching, ensuring a comprehensive grasp of probability principles.

Heading 1: Understanding the Ball Composition: Let's start by understanding the composition of the bag, which contains white, red, and black balls.

Heading 2: Determining Probability for Red or Black Ball: Now, let's calculate the probability of drawing a red or a black ball from the bag.

Sub-heading 1: Counting Red and Black Balls:

  • Number of red balls = 3
  • Number of black balls = 4

Sub-heading 2: Total Number of Balls in the Bag:

  • Total number of balls = 7 (white) + 3 (red) + 4 (black) = 14

Sub-heading 3: Probability Calculation:

  • Number of favorable outcomes (red or black) = Number of red balls + Number of black balls = 3 + 4 = 7
  • Total number of possible outcomes = Total number of balls = 14
  • Probability of drawing a red or a black ball (P(Red or Black)) = Number of favorable outcomes / Total number of possible outcomes
  • P(Red or Black) = 7 / 14

Heading 3: UrbanPro's Expert Math Tutors - Illuminating Probability Concepts: Let's explore how UrbanPro.com enhances your understanding of probability through Class 10 tuition coaching.

  • Clear Conceptual Explanation: UrbanPro's registered tutors provide clear explanations, ensuring students grasp probability concepts with ease.
  • Application of Probability: Tutors guide students in applying probability principles to various scenarios, fostering a deeper understanding.
  • Practical Problem Solving: UrbanPro's tutors engage students in practical problem-solving exercises, equipping them to handle diverse probability challenges.

Heading 4: Why Choose UrbanPro for Class 10 Tuition Coaching?

  • Verified Tutors: UrbanPro verifies the qualifications and experience of its tutors, ensuring students receive guidance from qualified educators.
  • Tailored Learning Plans: Tutors on UrbanPro customize lessons to suit individual learning styles, ensuring effective understanding of mathematical concepts.
  • Proven Academic Success: Many students have excelled in mathematics through UrbanPro's platform, showcasing the effectiveness of our tuition coaching.

Conclusion: Elevate Probability Skills with UrbanPro's Expertise: In conclusion, UrbanPro.com stands as the preferred platform for mastering probability concepts in Class 10 tuition coaching. Our experienced tutors guide students through probability calculations, providing a strong foundation in mathematical principles. Join UrbanPro for trusted tuition coaching and enhance your mathematical skills. Success in probability awaits you with UrbanPro's expert tutors!**

 
 
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Answered on 02/02/2024 Learn CBSE/Class 9/Mathematics/Statistics and Probability/Probability

Pooja R. Jain

Probability calculations involving dice throws are integral to Class 10 tuition coaching. In this scenario, we'll explore the probability of obtaining a specific total from the throw of two dice. UrbanPro.com connects students with experienced tutors specialized in Class 10 tuition coaching,... read more

Probability calculations involving dice throws are integral to Class 10 tuition coaching. In this scenario, we'll explore the probability of obtaining a specific total from the throw of two dice. UrbanPro.com connects students with experienced tutors specialized in Class 10 tuition coaching, ensuring a thorough understanding of probability principles.

Heading 1: Understanding the Dice Scenario: Let's begin by understanding the setup—a single throw involving two dice.

Heading 2: Determining Probability for a Total of 8: Now, let's calculate the probability of obtaining a total of 8 from the throw of two dice.

Sub-heading 1: Possible Combinations for a Total of 8:

  • Identify the various combinations that result in a sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2).

Sub-heading 2: Total Number of Possible Outcomes:

  • Total number of outcomes for a single die = 6
  • Since there are two dice, total outcomes = 6 * 6 = 36

Sub-heading 3: Probability Calculation:

  • Number of favorable outcomes (total of 8) = Number of combinations resulting in a sum of 8 = 5
  • Probability of getting a total of 8 (P(Total 8)) = Number of favorable outcomes / Total number of possible outcomes
  • P(Total 8) = 5 / 36

Heading 3: UrbanPro's Expert Math Tutors - Navigating Dice Probability: Let's explore how UrbanPro.com enriches your understanding of probability through Class 10 tuition coaching.

  • Visual Learning Tools: Tutors utilize visual aids to help students understand dice probability concepts in an engaging manner.
  • Problem-Solving Techniques: Tutors teach effective problem-solving strategies to tackle various dice probability scenarios.
  • Interactive Learning Sessions: UrbanPro's tutors conduct interactive sessions, ensuring active student participation in probability exercises.

Heading 4: Why Choose UrbanPro for Class 10 Tuition Coaching?

  • Verified Tutors: UrbanPro verifies the credentials of its tutors, ensuring students receive guidance from qualified and experienced educators.
  • Customized Learning: Tutors tailor lessons to suit individual learning styles, ensuring effective understanding of mathematical concepts.
  • Proven Academic Success: Many students have excelled in mathematics through UrbanPro's platform, attesting to the effectiveness of our tuition coaching.

Conclusion: Dice Probability Excellence with UrbanPro's Guidance: In conclusion, UrbanPro.com stands as the ideal platform for mastering probability concepts in Class 10 tuition coaching. Our experienced tutors guide students through complex probability calculations involving dice throws, providing a solid foundation in mathematical principles. Join UrbanPro for trusted tuition coaching and elevate your mathematical skills. Success in probability awaits you with UrbanPro's expert tutors!**

 
 
 
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Answered on 02/02/2024 Learn CBSE/Class 9/Mathematics/Statistics and Probability/Probability

Pooja R. Jain

Understanding card probabilities is a vital aspect of Class 10 tuition coaching. In this scenario, we'll explore the probability of drawing a face card from a well-shuffled deck of 52 cards. UrbanPro.com connects students with experienced tutors specialized in Class 10 tuition coaching, ensuring a... read more

Understanding card probabilities is a vital aspect of Class 10 tuition coaching. In this scenario, we'll explore the probability of drawing a face card from a well-shuffled deck of 52 cards. UrbanPro.com connects students with experienced tutors specialized in Class 10 tuition coaching, ensuring a comprehensive grasp of probability principles.

Heading 1: Understanding the Card Deck Setup: Let's begin by understanding the composition of a well-shuffled deck of 52 cards.

Heading 2: Determining Probability for a Face Card: Now, let's calculate the probability of obtaining a face card from the deck.

Sub-heading 1: Identifying Face Cards:

  • Face cards include Kings, Queens, and Jacks in each suit.
  • In a deck, there are 3 face cards per suit (K, Q, J).

Sub-heading 2: Total Number of Face Cards:

  • Number of face cards per suit = 3
  • Total number of face cards in the deck = 3 (face cards per suit) * 4 (suits) = 12

Sub-heading 3: Total Number of Cards in the Deck:

  • Total number of cards in the deck = 52

Sub-heading 4: Probability Calculation:

  • Number of favorable outcomes (getting a face card) = Number of face cards = 12
  • Probability of getting a face card (P(Face Card)) = Number of favorable outcomes / Total number of possible outcomes
  • P(Face Card) = 12 / 52

Heading 3: UrbanPro's Expert Math Tutors - Navigating Card Probability: Let's explore how UrbanPro.com enriches your understanding of probability through Class 10 tuition coaching.

  • Conceptual Understanding: Tutors ensure students grasp the concept of card probabilities, making it easier to apply in various scenarios.
  • Practical Application: UrbanPro's tutors guide students in applying probability principles to card-related problems, enhancing problem-solving skills.
  • Real-world Examples: Tutors use real-world examples to relate card probabilities to everyday situations, making learning engaging.

Heading 4: Why Choose UrbanPro for Class 10 Tuition Coaching?

  • Verified Tutors: UrbanPro verifies the qualifications and experience of its tutors, ensuring students receive guidance from qualified educators.
  • Interactive Learning: Tutors on UrbanPro engage students through interactive sessions, ensuring active participation in probability exercises.
  • Proven Academic Success: Many students have excelled in mathematics through UrbanPro's platform, attesting to the effectiveness of our tuition coaching.

Conclusion: Card Probability Excellence with UrbanPro's Guidance: In conclusion, UrbanPro.com stands as the go-to platform for mastering probability concepts in Class 10 tuition coaching. Our experienced tutors guide students through intricate card probability calculations, providing a strong foundation in mathematical principles. Join UrbanPro for trusted tuition coaching and elevate your mathematical skills. Success in probability awaits you with UrbanPro's expert tutors!**

 
 
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