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Vidaara.orgClass 10 · Mathematics
CodeVID-M10-13-SIN-01
Single-Event Problems — Assignment
Chapter: Probability
Topic: Simple Problems 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.
$P(\text{number}>4)$ on a die is:
  • A.$\tfrac16$
  • B.$\tfrac13$
  • C.$\tfrac12$
  • D.$\tfrac23$
2.
$P(\text{tail})$ is:
  • A.$0$
  • B.$\tfrac12$
  • C.$1$
  • D.$\tfrac14$
3.
$P(\text{drawing an ace})$ from $52$ is:
  • A.$\tfrac1{13}$
  • B.$\tfrac14$
  • C.$\tfrac1{52}$
  • D.$\tfrac1{26}$
4.
$P(\text{number}\le6)$ on a die is:
  • A.$0$
  • B.$\tfrac12$
  • C.$1$
  • D.$\tfrac56$
5.
$P(\text{getting }7)$ on a single die is:
  • A.$\tfrac16$
  • B.$1$
  • C.$0$
  • D.$\tfrac17$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find $P(\text{an odd number})$ on a die.
7.
Find $P(\text{a vowel})$ from the letters of "MATH".
8.
Find $P(\text{a number divisible by }3)$ on a die.
9.
Find $P(\text{a black card})$ from a deck.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A die is thrown. Find $P(\text{a number strictly between }2\text{ and }6)$.
11.
From the letters of "PROBABILITY", find $P(\text{a vowel})$.
12.
A bag has $3$ red, $2$ blue and $5$ green balls. Find $P(\text{not green})$.
13.
A number is chosen from $1$ to $20$. Find $P(\text{a multiple of }4)$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A box has $90$ discs numbered $1$ to $90$. One is drawn. Find $P(\text{a two-digit number})$ and $P(\text{a perfect square})$.
15.
A die is thrown once. Find $P(\text{prime})$, $P(\text{number between }2\text{ and }6)$ and $P(\text{odd})$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\tfrac13$
  2. (B) $\tfrac12$
  3. (A) $\tfrac1{13}$
  4. (C) $1$
  5. (C) $0$
Section B — Short Answer (2 marks)
  1. $\tfrac12$.
  2. $\tfrac14$.
  3. $\tfrac13$.
  4. $\tfrac12$.
Section C — Short Answer (3 marks)
  1. $\tfrac12$.
  2. $\tfrac{4}{11}$.
  3. $\tfrac12$.
  4. $\tfrac14$.
Section D — Long Answer (5 marks)
  1. $\tfrac{9}{10}$ and $\tfrac{1}{10}$.
  2. $\tfrac12,\ \tfrac12,\ \tfrac12$.
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