#### 11th Standard Maths Introduction To Probability Theory English Medium Free Online Test One Mark Questions 2020 - 2021

11th Standard

Reg.No. :
•
•
•
•
•
•

Maths

Time : 00:10:00 Hrs
Total Marks : 10

10 x 1 = 10
1. Let A and B be two events such that $P(\overline{A\cup B})={1\over6}, P(A\cap B)={1\over4}$ and ${P(\overline{A})}={1\over4}$Then the events A and B are

(a)

Equally likely but not independent

(b)

Independent but not equally likely

(c)

Independent and equally likely

(d)

Mutually inclusive and dependent

2. A man has 3 fifty rupee notes, 4 hundred rupees notes, and 6 five hundred rupees notes in his pocket. If 2 notes are taken at random, what are the odds in favour of both notes being of hundred rupee denomination?

(a)

1:12

(b)

12:1

(c)

13:1

(d)

1:13

3. If A and B are two events such that A⊂B and P(B)$\neq o$ ,then which of the following is correct?

(a)

$P(A/B)={P(A)\over P(B)}$

(b)

P(A/B)<P(A)

(c)

P(A/B)$\ge$P(A)

(d)

P(A/B)>P(B)

4. If X and Y be two events such that P(X/Y) = ${1\over2},P(Y/X)={1\over3}$ and $P(X\cap Y)={1\over6}$then P(X$\cup$Y) is

(a)

${1\over3}$

(b)

${2\over5}$

(c)

${1\over6}$

(d)

${2\over3}$

5. If two events A and B are such that $P(\overline{A})={3\over10}$ and $P(A \cap \overline{B})={1\over2},$ then $P(A\cap B)$ is

(a)

${1\over2}$

(b)

${1\over3}$

(c)

${1\over4}$

(d)

${1\over5}$

6. It is given that the events A and B are such that $P(A)={1\over4},P(A/B)={1\over2}$ and $P(B/A)={2\over3}.$ Then P(B) is

(a)

${1\over 6}$

(b)

${1\over 3}$

(c)

${2\over 3}$

(d)

${1\over 2}$

7. A coin is tossed three times. If events A and B are defined as A = Two heads occurs B = Last should be head. Then A and B are

(a)

Independent

(b)

dependent

(c)

both

(d)

mutually exclusive

8. If S is the sample space, P(A) = $\frac { 1 }{ 3 }$  P(B) and S = A$\cup$B, where A and B are mutually exclusive events then P(A) =

(a)

$\frac { 1 }{ 4 }$

(b)

$\frac { 1 }{ 2 }$

(c)

$\frac { 3 }{ 4 }$

(d)

$\frac { 3 }{ 8 }$

9. If A and B are two events such that P(A) = $\frac { 4 }{ 5 }$ and $P(A\cap B)=\frac { 7 }{ 10 }$ then P(B/A) =

(a)

$\frac { 1 }{ 10 }$

(b)

$\frac { 1 }{ 8 }$

(c)

$\frac { 7 }{ 8 }$

(d)

$\frac { 17 }{ 20 }$

10. If P(B)=$\frac { 3 }{ 5 }$P(A/B) = $\frac { 1 }{ 2 }$ and $P(A\cup B)=\frac { 4 }{ 5 }$, then P(A) is

(a)

$\frac { 3 }{ 10 }$

(b)

$\frac { 1 }{ 2 }$

(c)

$\frac { 1 }{ 10 }$

(d)

$\frac { 3 }{ 5 }$