← Back to chapter
Vidaara.orgClass 8 · Mathematics
CodeVID-M8-19-CT
Probability — Full Chapter Test
Chapter: Probability
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.
Theoretical probability $=$
  • A.$\tfrac{\text{favourable outcomes}}{\text{total outcomes}}$
  • B.$\tfrac{\text{total}}{\text{favourable}}$
  • C.favourable outcomes
  • D.total outcomes
2.
The probability of an event lies between:
  • A.$-1$ and $1$
  • B.$0$ and $1$
  • C.$0$ and $10$
  • D.$1$ and $2$
3.
A game is fair if all players have:
  • A.different chances
  • B.an equal chance
  • C.no chance
  • D.one turn
4.
Experimental probability $=$
  • A.$\tfrac{\text{favourable trials}}{\text{total trials}}$
  • B.$\tfrac{\text{total}}{\text{favourable}}$
  • C.favourable trials
  • D.total trials
5.
A certain event has probability:
  • A.$0$
  • B.$0.5$
  • C.$1$
  • D.$2$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find $P(\text{head})$ on a fair coin.
7.
Find $P(\text{a }3)$ on a die.
8.
How many outcomes when two coins are tossed?
9.
Find $P(\text{a }4)$ on a die.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A die is rolled. Find the theoretical $P(\text{even number})$.
11.
A bag has $5$ red and $5$ green balls. Find $P(\text{red})$.
12.
Two coins are tossed. Find $P(\text{at least one head})$.
13.
In $200$ tosses, tails appeared $90$ times. Find the experimental $P(\text{tail})$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A die is rolled $60$ times and a $6$ appears $8$ times. Compare the experimental and theoretical probabilities of getting a $6$.
15.
A bag has $4$ red, $5$ blue and $6$ green balls. One ball is drawn. Find $P(\text{red})$, $P(\text{blue})$ and $P(\text{not green})$.

Answer Key

Section A — Multiple Choice Questions
  1. (A) $\tfrac{\text{favourable outcomes}}{\text{total outcomes}}$
  2. (B) $0$ and $1$
  3. (B) an equal chance
  4. (A) $\tfrac{\text{favourable trials}}{\text{total trials}}$
  5. (C) $1$
Section B — Short Answer (2 marks)
  1. $\tfrac12$.
  2. $\tfrac16$.
  3. $4$.
  4. $\tfrac16$.
Section C — Short Answer (3 marks)
  1. $\tfrac12$.
  2. $\tfrac12$.
  3. $\tfrac34$.
  4. $0.45$.
Section D — Long Answer (5 marks)
  1. Experimental $\approx0.13$; theoretical $\tfrac16\approx0.17$.
  2. $P(\text{red})=\tfrac{4}{15}$; $P(\text{blue})=\tfrac13$; $P(\text{not green})=\tfrac35$.
Generated by Vidaara.org · Assignment VID-M8-19-CT · vidaara.org