Vidaara.orgClass 11 · Mathematics
CodeVID-M11-14-CT
Probability — Full Chapter Test
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- This is a full-length test covering the whole chapter — every topic is included.
- 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.
For any event, $P(A)$ satisfies:
- A.$P(A)>1$
- B.$0\le P(A)\le1$
- C.$P(A)<0$
- D.$P(A)=2$
3.
$P(A\cup B)=$
- A.$P(A)+P(B)$
- B.$P(A)+P(B)-P(A\cap B)$
- C.$P(A)P(B)$
- D.$P(A)-P(B)$
4.
Tossing two coins gives how many outcomes?
- A.$2$
- B.$4$
- C.$6$
- D.$8$
5.
$P(\text{sure event})=$
- A.$0$
- B.$1$
- C.$\tfrac12$
- D.$\infty$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Write the sample space for tossing two coins.
7.
Find the probability of getting a head in one coin toss.
8.
$P(A)=0.3,\ P(B)=0.5$, mutually exclusive. Find $P(A\cup B)$.
9.
How many outcomes are there when a die is rolled twice?
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. Find $P(\text{prime number})$.
12.
A card is drawn from $52$. Find $P(\text{king or queen})$.
13.
A die is rolled; write the event "an even number".
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.
A card is drawn from a deck of $52$. Find the probability that it is (i) a heart, (ii) a face card, (iii) a red king.
Answer Key
Section A — Multiple Choice Questions
- (B) $\{H,T\}$
- (B) $0\le P(A)\le1$
- (B) $P(A)+P(B)-P(A\cap B)$
- (B) $4$
- (B) $1$
Section B — Short Answer (2 marks)
- $\{HH,HT,TH,TT\}$.
- $\tfrac12$.
- $0.8$.
- $36$.
Section C — Short Answer (3 marks)
- $\{H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6\}$ ($12$ outcomes).
- $\tfrac12$.
- $\tfrac{2}{13}$.
- $\{2,4,6\}$.
Section D — Long Answer (5 marks)
- $S=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}$; event $\{HHT,HTH,THH\}$.
- (i) $\tfrac14$; (ii) $\tfrac{3}{13}$; (iii) $\tfrac{1}{26}$.
Generated by Vidaara.org · Assignment VID-M11-14-CT · vidaara.org