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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-19-SEV-01
Simple Events & Likelihood - Assignment
Chapter: Probability
Topic: Simple Events and Likelihood of Events
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.
The probability of an event 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.
An event with probability close to $1$ is:
  • A.unlikely
  • B.likely
  • C.impossible
  • D.certain
5.
The sum of probabilities of all outcomes is:
  • A.$0$
  • B.$0.5$
  • C.$1$
  • D.$2$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find $P(\text{a }3)$ on a die.
7.
Find $P(\text{an odd number})$ on a die.
8.
Find $P(\text{the sun rising tomorrow})$.
9.
Find $P(\text{rolling a }7)$ on a normal die.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A bag has $5$ red and $5$ green balls. Find $P(\text{red})$.
11.
A number is chosen from $1$ to $10$. Find $P(\text{a multiple of }3)$.
12.
From a deck of $52$, find $P(\text{a red card})$.
13.
If $P(\text{rain})=0.7$, find $P(\text{no rain})$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A bag has $4$ red, $5$ blue and $6$ green balls. One ball is drawn. Find $P(\text{red})$, $P(\text{blue})$ and $P(\text{not green})$.
15.
A number is chosen at random from $1$ to $20$. Find $P(\text{even})$, $P(\text{a multiple of }5)$ 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) likely
  5. (C) $1$
Section B — Short Answer (2 marks)
  1. $\tfrac16$.
  2. $\tfrac12$.
  3. $1$.
  4. $0$.
Section C — Short Answer (3 marks)
  1. $\tfrac12$.
  2. $\tfrac{3}{10}$.
  3. $\tfrac12$.
  4. $0.3$.
Section D — Long Answer (5 marks)
  1. $P(\text{red})=\tfrac{4}{15}$; $P(\text{blue})=\tfrac13$; $P(\text{not green})=\tfrac35$.
  2. $\tfrac12$, $\tfrac15$, $\tfrac25$.
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