MCQ

MCQ 11 Mark

What is the value of $P\left(A^{\prime} \cup A\right)$ for complementary events $A$ and $A^{\prime} ?$

✓
$1$
B
$0$
C
$0.5$
D
Between $0$ and $1$

Answer

Correct option: A.

$1$

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MCQ 21 Mark

Which of the following options is true for $P(A \cup B)$ for two exhaustive events $A$ and $B$ ?

A
$P(A \cup B)=P(A)+P(B)$
✓
$P(A \cup B)=P(U)$
C
$P(A \cup B)=P\cdot P(B)$
D
$P(A \cup B)=P(A)-P(B)$

Answer

Correct option: B.

$P(A \cup B)=P(U)$

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MCQ 31 Mark

Which of the following options is true for mutually exclusive events $A$ and $B$ that are not exhaustive?

A
$P(B / A)=P(B)$
B
$P(A / B)=P(A)$
C
$P(A \cup B)=1$
✓
$P(A-B)=P(A)$

Answer

Correct option: D.

$P(A-B)=P(A)$

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MCQ 41 Mark

From the following random experiments, which random experiment has infinite sample space?

A
Selecting a card at random from $52$ cards
B
Selecting $5$ schools at random from the schools of a city
C
Selecting an item at random from a lot of items
✓
Measuring weight of an infant

Answer

Correct option: D.

Measuring weight of an infant

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MCQ 51 Mark

What will be $(A \cap B) \cup\left(A \cap B^{\prime}\right)$ from the following ?

A
$A^{\prime}$
B
$B$
✓
$A$
D
$A^{\prime} \cap B^{\prime}$

Answer

Correct option: C.

$A$

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MCQ 61 Mark

For complementary events $A$ and $A^{\prime}$, what is the value of $P\left(A^{\prime} \cap A\right)$ ?

A
$1$
✓
$0$
C
$0.5$
D
Between $0$ and $1$

Answer

Correct option: B.

$0$

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MCQ 71 Mark

If $A$ and $B$ are mutually exclusive events, what will be $A-B$ from the following ?

✓
$A$
B
$B$
C
$A \cap B$
D
$A^{\prime} \cap B^{\prime}$

Answer

Correct option: A.

$A$

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MCQ 81 Mark

What is the value of $P(A \cap B)$ if $A$ and $B$ are mutually exclusive events?

A
$1$
✓
$0$
C
$0.5$
D
Between $0$ and $1$

Answer

Correct option: B.

$0$

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MCQ 91 Mark

How is a difference event $A-B$ obtained among the following ?

✓
$A-(A \cap B)$
B
$A-\left(A^{\prime} \cap B^{\prime}\right)$
C
$B-\left(A^{\prime} \cap B^{\prime}\right)$
D
$B-(A \cap B)$

Answer

Correct option: A.

$A-(A \cap B)$

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MCQ 101 Mark

If two events $A$ and $B$ can not occur simultaneously, what type of events are they called ?

A
Union events
B
Difference events
C
Intersection events
✓
Mutually exclusive events

Answer

Correct option: D.

Mutually exclusive events

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MCQ 111 Mark

How will you symbolically denote the probability of occuring at least one event out of $A$ and $B$ ?

A
$P(B / A)$
B
$P(A \cap B)$
✓
$P(A \cup B)$
D
$P\left(A^{\prime} \cap B^{\prime}\right)$

Answer

Correct option: C.

$P(A \cup B)$

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MCQ 121 Mark

Which type of an event will it be, of obtaining $1, 2,3,4,5$ or $6$ in an experiment of throwing a balanced die ?

A
Independent event
B
Complementary event
✓
Certain event
D
Impossible even

Answer

Correct option: C.

Certain event

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MCQ 131 Mark

State the number of elements in the sample space related with an experiment of tossing three balanced dice simultaneously.

A
$6$
✓
$216$
C
$36$
D
$8$

Answer

Correct option: B.

$216$

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MCQ 141 Mark

What type of a set will the sample space be, in an experiment of tossing a coin until head occurs?

A
Finite set
✓
Infinite set
C
Null set
D
Singleton set

Answer

Correct option: B.

Infinite set

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