← Back to chapter
Vidaara.orgClass 10 · Mathematics
CodeVID-M10-13-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.
$P(E)=$
  • A.$\dfrac{\text{favourable}}{\text{total}}$
  • B.favourable
  • C.total
  • D.$1$
2.
$P(\text{number}>4)$ on a die is:
  • A.$\tfrac16$
  • B.$\tfrac13$
  • C.$\tfrac12$
  • D.$\tfrac23$
3.
$P(\text{sure event})=$
  • A.$0$
  • B.$1$
  • C.$\tfrac12$
  • D.$\infty$
4.
$P(\text{tail})$ is:
  • A.$0$
  • B.$\tfrac12$
  • C.$1$
  • D.$\tfrac14$
5.
$P(\text{impossible event})=$
  • A.$1$
  • B.$0$
  • C.$\tfrac12$
  • D.$-1$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the probability of a head in one coin toss.
7.
Find $P(\text{an odd number})$ on a die.
8.
Find the probability of an even number on a die.
9.
Find $P(\text{a vowel})$ from the letters of "MATH".
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A die is rolled. Find $P(\text{prime})$.
11.
A die is thrown. Find $P(\text{a number strictly between }2\text{ and }6)$.
12.
A card is drawn from $52$. Find $P(\text{a king})$.
13.
From the letters of "PROBABILITY", find $P(\text{a vowel})$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A bag contains $5$ red, $8$ white and $7$ black balls. One is drawn at random. Find $P(\text{red})$ and $P(\text{not black})$.
15.
A box has $90$ discs numbered $1$ to $90$. One is drawn. Find $P(\text{a two-digit number})$ and $P(\text{a perfect square})$.

Answer Key

Section A — Multiple Choice Questions
  1. (A) $\dfrac{\text{favourable}}{\text{total}}$
  2. (B) $\tfrac13$
  3. (B) $1$
  4. (B) $\tfrac12$
  5. (B) $0$
Section B — Short Answer (2 marks)
  1. $\tfrac12$.
  2. $\tfrac12$.
  3. $\tfrac12$.
  4. $\tfrac14$.
Section C — Short Answer (3 marks)
  1. $\tfrac12$.
  2. $\tfrac12$.
  3. $\tfrac{1}{13}$.
  4. $\tfrac{4}{11}$.
Section D — Long Answer (5 marks)
  1. $\tfrac14$ and $\tfrac{13}{20}$.
  2. $\tfrac{9}{10}$ and $\tfrac{1}{10}$.
Generated by Vidaara.org · Assignment VID-M10-13-CT · vidaara.org