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Vidaara.orgClass 11 · Mathematics
CodeVID-M11-14-SS-01
Random Experiments & Sample Space — Assignment
Chapter: Probability
Topic: Random Experiments, Sample Space and 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 sample space of one coin toss is:
  • A.$\{H\}$
  • B.$\{H,T\}$
  • C.$\{T\}$
  • D.$\{0,1\}$
2.
Tossing two coins gives how many outcomes?
  • A.$2$
  • B.$4$
  • C.$6$
  • D.$8$
3.
Rolling a die gives how many outcomes?
  • A.$1$
  • B.$6$
  • C.$12$
  • D.$36$
4.
An event is a:
  • A.number
  • B.subset of the sample space
  • C.probability
  • D.mean
5.
Rolling two dice gives how many outcomes?
  • A.$12$
  • B.$36$
  • C.$6$
  • D.$18$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Write the sample space for tossing two coins.
7.
How many outcomes are there when a die is rolled twice?
8.
Write the sample space for one roll of a die.
9.
How many outcomes are there when three coins are tossed?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Write the sample space when a coin is tossed and a die is rolled.
11.
A die is rolled; write the event "an even number".
12.
Two coins are tossed; write the event "at least one head".
13.
Write the sample space for the suit of a drawn card.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A coin is tossed three times. Write the sample space and the event "exactly two heads".
15.
Two dice are thrown. Write the event "the sum is $8$" and state the number of outcomes.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\{H,T\}$
  2. (B) $4$
  3. (B) $6$
  4. (B) subset of the sample space
  5. (B) $36$
Section B — Short Answer (2 marks)
  1. $\{HH,HT,TH,TT\}$.
  2. $36$.
  3. $\{1,2,3,4,5,6\}$.
  4. $8$.
Section C — Short Answer (3 marks)
  1. $\{H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6\}$ ($12$ outcomes).
  2. $\{2,4,6\}$.
  3. $\{HH,HT,TH\}$.
  4. $\{\text{spades, hearts, diamonds, clubs}\}$.
Section D — Long Answer (5 marks)
  1. $S=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}$; event $\{HHT,HTH,THH\}$.
  2. $\{(2,6),(3,5),(4,4),(5,3),(6,2)\}$ — $5$ outcomes.
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