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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-15-SNG-01
Probability of Single Events - Assignment
Chapter: Probability
Topic: Simple Problems Based on Single 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.
$P(\text{head})$ on one coin toss:
  • A.$0$
  • B.$\tfrac12$
  • C.$1$
  • D.$\tfrac14$
2.
$P(\text{a }3)$ on a die:
  • A.$\tfrac16$
  • B.$\tfrac13$
  • C.$\tfrac12$
  • D.$1$
3.
$P(\text{even})$ on a die:
  • A.$\tfrac16$
  • B.$\tfrac13$
  • C.$\tfrac12$
  • D.$\tfrac23$
4.
$P(\text{red card})$ from a deck:
  • A.$\tfrac14$
  • B.$\tfrac12$
  • C.$\tfrac{1}{13}$
  • D.$\tfrac{1}{52}$
5.
$P(\text{a king})$ from a deck of $52$:
  • A.$\tfrac{1}{13}$
  • B.$\tfrac{1}{52}$
  • C.$\tfrac14$
  • D.$\tfrac12$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
A die is rolled. Find $P(\text{a }5)$.
7.
A coin is tossed. Find $P(\text{tail})$.
8.
A die is rolled. Find $P(\text{a number} > 4)$.
9.
From a deck, find $P(\text{a spade})$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A bag has $3$ red and $5$ blue balls. Find $P(\text{red})$.
11.
A die is rolled. Find $P(\text{an odd number})$.
12.
From a deck of $52$, find $P(\text{a face card})$.
13.
A number is chosen from $1$ to $10$. Find $P(\text{a multiple of }3)$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A bag contains $5$ red, $4$ green and $6$ yellow balls. One ball is drawn. Find $P(\text{red})$, $P(\text{green})$ and $P(\text{not yellow})$.
15.
A card is drawn from a well-shuffled deck of $52$. Find $P(\text{a heart})$, $P(\text{an ace})$ and $P(\text{the king of spades})$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\tfrac12$
  2. (A) $\tfrac16$
  3. (C) $\tfrac12$
  4. (B) $\tfrac12$
  5. (A) $\tfrac{1}{13}$
Section B — Short Answer (2 marks)
  1. $\tfrac16$.
  2. $\tfrac12$.
  3. $\tfrac13$.
  4. $\tfrac14$.
Section C — Short Answer (3 marks)
  1. $\tfrac38$.
  2. $\tfrac12$.
  3. $\tfrac{12}{52}=\tfrac{3}{13}$.
  4. $\tfrac{3}{10}$.
Section D — Long Answer (5 marks)
  1. $P(\text{red})=\tfrac{5}{15}=\tfrac13$; $P(\text{green})=\tfrac{4}{15}$; $P(\text{not yellow})=\tfrac{9}{15}=\tfrac35$.
  2. $P(\text{heart})=\tfrac14$; $P(\text{ace})=\tfrac{1}{13}$; $P(\text{king of spades})=\tfrac{1}{52}$.
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