← Back to topic
Vidaara.orgClass 7 · Mathematics
CodeVID-M07-10-BPR-01
Basic Probability - Assignment
Chapter: Probability (Intro)
Topic: Basic Probability & Likelihood Scale
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.
A probability lies between:
  • A.$-1$ and $1$
  • B.$0$ and $1$
  • C.$0$ and $10$
  • D.$1$ and $2$
2.
A certain event has probability:
  • A.$0$
  • B.$0.5$
  • C.$1$
  • D.$2$
3.
An impossible event has probability:
  • A.$0$
  • B.$0.5$
  • C.$1$
  • D.$-1$
4.
$P(\text{head})$ on a fair coin is:
  • A.$0$
  • B.$\tfrac12$
  • C.$1$
  • D.$\tfrac14$
5.
$P=$
  • A.$\tfrac{\text{favourable}}{\text{total}}$
  • B.$\tfrac{\text{total}}{\text{favourable}}$
  • C.favourable
  • D.total
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.
Find $P(\text{certain event})$.
9.
Find $P(\text{impossible event})$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find $P(\text{an even number})$ on a die.
11.
Find $P(\text{a number} > 4)$ on a die.
12.
A bag has $3$ red and $5$ blue balls. Find $P(\text{red})$.
13.
If $P(\text{rain})=0.6$, find $P(\text{no rain})$.
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 number is chosen from $1$ to $12$. Find $P(\text{a multiple of }3)$ and $P(\text{a prime})$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $0$ and $1$
  2. (C) $1$
  3. (A) $0$
  4. (B) $\tfrac12$
  5. (A) $\tfrac{\text{favourable}}{\text{total}}$
Section B — Short Answer (2 marks)
  1. $\tfrac12$.
  2. $\tfrac16$.
  3. $1$.
  4. $0$.
Section C — Short Answer (3 marks)
  1. $\tfrac12$.
  2. $\tfrac13$.
  3. $\tfrac38$.
  4. $0.4$.
Section D — Long Answer (5 marks)
  1. $\tfrac{4}{15}$, $\tfrac13$, $\tfrac35$.
  2. $\tfrac13$ and $\tfrac{5}{12}$.
Generated by Vidaara.org · Assignment VID-M07-10-BPR-01 · vidaara.org