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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-19-EXT-01
Experimental & Theoretical Probability - Assignment
Chapter: Probability
Topic: Experimental and Theoretical Probability
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • 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.
Experimental probability $=$
  • A.$\tfrac{\text{favourable trials}}{\text{total trials}}$
  • B.$\tfrac{\text{total}}{\text{favourable}}$
  • C.favourable trials
  • D.total trials
3.
A probability lies between:
  • A.$-1$ and $1$
  • B.$0$ and $1$
  • C.$0$ and $100$
  • D.$1$ and $2$
4.
$P(\text{certain event})=$
  • A.$0$
  • B.$0.5$
  • C.$1$
  • D.$2$
5.
$P(\text{impossible event})=$
  • 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.
Find $P(\text{a }4)$ on a die.
8.
A coin tossed $50$ times shows $30$ heads. Find the experimental $P(\text{head})$.
9.
Find $P(\text{impossible event})$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A die is rolled. Find the theoretical $P(\text{even number})$.
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 bag has $3$ red and $7$ blue balls. Find $P(\text{red})$.
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 spinner has $4$ equal sections: red, blue, green, yellow. Find $P(\text{red})$ and $P(\text{not red})$.

Answer Key

Section A — Multiple Choice Questions
  1. (A) $\tfrac{\text{favourable outcomes}}{\text{total outcomes}}$
  2. (A) $\tfrac{\text{favourable trials}}{\text{total trials}}$
  3. (B) $0$ and $1$
  4. (C) $1$
  5. (A) $0$
Section B — Short Answer (2 marks)
  1. $\tfrac12$.
  2. $\tfrac16$.
  3. $0.6$.
  4. $0$.
Section C — Short Answer (3 marks)
  1. $\tfrac12$.
  2. $0.45$.
  3. $\tfrac13$.
  4. $\tfrac{3}{10}$.
Section D — Long Answer (5 marks)
  1. Experimental $\approx0.13$; theoretical $\tfrac16\approx0.17$.
  2. $\tfrac14$ and $\tfrac34$.
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