Any2Quiz
Quizzes / CBSE / Class 7 / Mathematics / Probability

Introduction Quiz - CBSE Class 7 Mathematics

Free practice quiz: Introduction (CBSE Class 7 Mathematics). 11 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 7 Mathematics practice quiz has 11 multiple-choice questions on Introduction, and 11 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Start quiz: 11 questions, free

Learn the key ideas first ↓

Learn the key ideas Beta

Experiments, Outcomes and Events

  • An experiment is an action like tossing, rolling or picking, whose result we cannot know in advance.
  • Each possible result is an outcome. An event is the group of outcomes we are interested in.
  • Outcomes are equally likely when each one has the same chance, like a fair coin or well-shuffled cards.
Total outcomes
\[n(S) = \text{number of all possible outcomes}\]
Favourable outcomes
\[n(E) = \text{number of outcomes in event } E\]

Common mistake: Counting only some outcomes as total, like forgetting the other colours in a bag or other groups in a class.

Probability Formula

  • Probability tells how likely an event is, using equally likely outcomes.
  • Divide favourable outcomes by total outcomes, then simplify the fraction to lowest terms.
Probability of event E
\[P(E) = \frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}\]
Picking from a mixed group
\[P(\text{type A}) = \frac{a}{a + b}\]

Common mistake: Writing favourable over unfavourable, like a over b, instead of a over the total a + b.

Range of Probability

  • Probability is always between 0 and 1, including both.
  • An impossible event has probability 0; a certain event has probability 1.
  • Chances of an event happening and not happening always add up to 1.
Range
\[0 \le P(E) \le 1\]
Event not happening
\[P(\text{not } E) = 1 - P(E)\]

Common mistake: Giving an answer bigger than 1, which happens when numerator and denominator are swapped.

Two Experiments Together

  • When two things happen together, like rolling two dice, list outcomes as pairs.
  • Total pairs equal outcomes of the first experiment times outcomes of the second.
Total outcomes for two experiments
\[\text{Total} = m \times n\]
Both events happening (independent)
\[P(A \text{ and } B) = P(A) \times P(B)\]

Common mistake: Adding outcomes, m + n, instead of multiplying them, m × n, when two experiments happen together.

Exam tips

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

  1. What is the probability of flipping a coin and it landing on heads?

    Show answer

    Answer: A. 1/2

    A fair coin has two sides, heads and tails, so the probability of flipping heads is 1 out of 2 outcomes.

  2. There are 3 red marbles and 2 blue marbles in a bag. What is the probability of drawing a red marble?

    Show answer

    Answer: A. 3/5

    There are 3 red marbles out of a total of 5 marbles, so the probability is 3/5.

  3. If you have 4 different books, what is the probability of picking a specific book at random?

    Show answer

    Answer: A. 1/4

    There is 1 specific book out of 4, so the probability is 1/4.

  4. If there are 10 boys and 15 girls in a class, what is the probability of picking a boy?

    Show answer

    Answer: A. 2/5

    There are 10 boys out of a total of 25 students, so the probability is 10/25 or 2/5.

  5. In a jar with 7 red balls and 3 green balls, what is the probability of picking a green ball?

    Show answer

    Answer: A. 3/10

    There are 3 green balls out of a total of 10, so the probability is 3/10.

Take the full quiz

More questions in this quiz

Answers and explanations are in the full quiz.

  1. If you roll a six-sided die, what is the probability of rolling a 4?
  2. What is the probability of choosing a vowel from the English alphabet?
  3. A deck of cards has 52 cards. What is the probability of drawing a spade?
  4. What is the probability of drawing a queen from a standard deck of cards?
  5. If you roll 2 dice, what is the probability of getting a double six?
  6. What's the probability of drawing an Ace from a shuffled deck of cards?

More quizzes

Browse all Probability quizzes

More to play

Daily ChallengeA new quiz every day. Keep your streak.HangmanGuess the word, letter by letter.Story QuestLearn through short interactive stories.All quizzesCBSE, ICSE, competitive exams and more.