Vidaara.orgClass 11 · Mathematics
CodeVID-M11-14-AX-01
Axiomatic Probability — Assignment
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.
For any event, $P(A)$ satisfies:
- A.$P(A)>1$
- B.$0\le P(A)\le1$
- C.$P(A)<0$
- D.$P(A)=2$
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.
$P(A')=$
- A.$P(A)$
- B.$1-P(A)$
- C.$1+P(A)$
- D.$2P(A)$
5.
The sum of probabilities of all outcomes is:
- A.$0$
- B.$1$
- C.$n$
- D.$\tfrac12$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the probability of getting a head in one coin toss.
7.
Find the probability of an even number on a die.
8.
If $P(A)=0.3$, find $P(A')$.
9.
Find the probability of a number greater than $4$ on a die.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
A die is rolled. Find $P(\text{prime number})$.
11.
Two coins are tossed. Find $P(\text{exactly one head})$.
12.
A card is drawn from $52$. Find $P(\text{king})$.
13.
A bag has $3$ red and $2$ blue balls. Find $P(\text{red})$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
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.
15.
Two dice are thrown. Find the probability that (i) the sum is $7$, (ii) both dice show the same number.
Answer Key
Section A — Multiple Choice Questions
- (B) $0\le P(A)\le1$
- (B) $1$
- (B) $0$
- (B) $1-P(A)$
- (B) $1$
Section B — Short Answer (2 marks)
- $\tfrac12$.
- $\tfrac12$.
- $0.7$.
- $\tfrac13$.
Section C — Short Answer (3 marks)
- $\tfrac12$.
- $\tfrac12$.
- $\tfrac{1}{13}$.
- $\tfrac35$.
Section D — Long Answer (5 marks)
- (i) $\tfrac14$; (ii) $\tfrac{3}{13}$; (iii) $\tfrac{1}{26}$.
- (i) $\tfrac16$; (ii) $\tfrac16$.
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