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Vidaara.orgClass 10 · Mathematics
CodeVID-M10-13-CLA-01
Classical Probability — Assignment
Chapter: Probability
Topic: Classical Definition of Probability
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.
$P(E)=$
  • A.$\dfrac{\text{favourable}}{\text{total}}$
  • B.favourable
  • C.total
  • D.$1$
2.
$P(\text{sure event})=$
  • A.$0$
  • B.$1$
  • C.$\tfrac12$
  • D.$\infty$
3.
$P(\text{impossible event})=$
  • A.$1$
  • B.$0$
  • C.$\tfrac12$
  • D.$-1$
4.
For any event, $0\le P(E)\le$
  • A.$\tfrac12$
  • B.$1$
  • C.$2$
  • D.$\infty$
5.
$P(E)+P(\text{not }E)=$
  • A.$0$
  • B.$1$
  • C.$2$
  • D.$P(E)$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the probability of a head in one coin toss.
7.
Find the probability of an even number on a die.
8.
If $P(E)=0.4$, find $P(\text{not }E)$.
9.
Find the probability of drawing a red card from a deck of $52$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
A die is rolled. Find $P(\text{prime})$.
11.
A card is drawn from $52$. Find $P(\text{a king})$.
12.
A bag has $5$ red and $3$ green balls. Find $P(\text{green})$.
13.
Two coins are tossed. Find $P(\text{at least one head})$.
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 card is drawn from a deck of $52$. Find $P(\text{face card})$ and $P(\text{red queen})$.

Answer Key

Section A — Multiple Choice Questions
  1. (A) $\dfrac{\text{favourable}}{\text{total}}$
  2. (B) $1$
  3. (B) $0$
  4. (B) $1$
  5. (B) $1$
Section B — Short Answer (2 marks)
  1. $\tfrac12$.
  2. $\tfrac12$.
  3. $0.6$.
  4. $\tfrac12$.
Section C — Short Answer (3 marks)
  1. $\tfrac12$.
  2. $\tfrac{1}{13}$.
  3. $\tfrac38$.
  4. $\tfrac34$.
Section D — Long Answer (5 marks)
  1. $\tfrac14$ and $\tfrac{13}{20}$.
  2. $\tfrac{3}{13}$ and $\tfrac{1}{26}$.
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