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Vidaara.orgClass 7 · Mathematics
CodeVID-M7-10-CT
Probability (Intro) — Full Chapter Test
Chapter: Probability (Intro)
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • This is a full-length test covering the whole chapter — every topic is included.
  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A probability lies between:
  • A.$-1$ and $1$
  • B.$0$ and $1$
  • C.$0$ and $10$
  • D.$1$ and $2$
2.
Theoretical probability $=$
  • A.$\tfrac{\text{favourable outcomes}}{\text{total outcomes}}$
  • B.$\tfrac{\text{trials}}{\text{favourable}}$
  • C.favourable trials
  • D.total trials
3.
A certain event has probability:
  • A.$0$
  • B.$0.5$
  • C.$1$
  • D.$2$
4.
Experimental probability $=$
  • A.$\tfrac{\text{favourable trials}}{\text{total trials}}$
  • B.$\tfrac{\text{total}}{\text{favourable}}$
  • C.favourable outcomes
  • D.total outcomes
5.
An impossible event has probability:
  • A.$0$
  • B.$0.5$
  • C.$1$
  • D.$-1$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find $P(\text{head})$ on a fair coin.
7.
A coin tossed $100$ times shows $60$ heads. Find the experimental $P(\text{head})$.
8.
Find $P(\text{a }4)$ on a die.
9.
What is the theoretical $P(\text{head})$?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find $P(\text{an even number})$ on a die.
11.
In $200$ tosses, tails appeared $90$ times. Find the experimental $P(\text{tail})$.
12.
Find $P(\text{a number} > 4)$ on a die.
13.
A die is rolled. Find the theoretical $P(\text{an even number})$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A bag has $4$ red, $5$ green and $6$ yellow balls. Find $P(\text{red})$, $P(\text{green})$ and $P(\text{not yellow})$.
15.
A die is rolled $120$ times and a $6$ appears $18$ times. Compare the experimental and theoretical probabilities of a $6$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $0$ and $1$
  2. (A) $\tfrac{\text{favourable outcomes}}{\text{total outcomes}}$
  3. (C) $1$
  4. (A) $\tfrac{\text{favourable trials}}{\text{total trials}}$
  5. (A) $0$
Section B — Short Answer (2 marks)
  1. $\tfrac12$.
  2. $0.6$.
  3. $\tfrac16$.
  4. $\tfrac12$.
Section C — Short Answer (3 marks)
  1. $\tfrac12$.
  2. $0.45$.
  3. $\tfrac13$.
  4. $\tfrac12$.
Section D — Long Answer (5 marks)
  1. $\tfrac{4}{15}$, $\tfrac13$, $\tfrac35$.
  2. Experimental $0.15$; theoretical $\tfrac16\approx0.17$.
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