MCQ 11 Mark
If $P(A|B) = P(A)$ and $P(B|A) = P(B),$ then what type of events are $A$ and $B ?$
View full question & answer→MCQ 21 Mark
If $A ∪ A’ = U,$ then what type of events are $A$ and $A’ ?$
View full question & answer→MCQ 31 Mark
Which random experiment from the following random experiment has an infinite sample space ?
AnswerCorrect option: C. To measure the life of electric bulb
View full question & answer→MCQ 41 Mark
Which of the following statement for probability of elementary events $H$ and $T$ of a random experiment of tossing a balanced coin is not true ?
- A
$P(T) = 0.5$
- B
$P(H) + P(T) = 1$
- ✓
$P(H T) = 0.5$
- D
$P(H) = 0.5$
AnswerCorrect option: C. $P(H T) = 0.5$
View full question & answer→MCQ 51 Mark
What is the other name of the classical definition of probability ?
MCQ 61 Mark
Which of the following options is not true for any two events $A$ and $B$ in the sample space $U;$ where, $A ⊂ B ?$
- ✓
$P(A \cap B)=P(B)$
- B
$P(A \cap B)=P(A)$
- C
$P(A \cup B) \geq P(A)$
- D
$P(B-A)=P(B)-P(A)$
AnswerCorrect option: A. $P(A \cap B)=P(B)$
View full question & answer→MCQ 71 Mark
Which of the following options is true for any event of the sample space ?
- A
$P ( A )<0$
- B
$0 \leq P ( A ) \geq 1$
- ✓
$0 \leq P ( A ) \leq 1$
- D
$P ( A )>1$
AnswerCorrect option: C. $0 \leq P ( A ) \leq 1$
View full question & answer→MCQ 81 Mark
What is the value of $P(A ∩ A’)$ for events $A$ and $A’ ?$
- A
$1$
- ✓
$0$
- C
$0.5$
- D
Between $0$ and $1$
View full question & answer→MCQ 91 Mark
According to the mathematical definition of probability, what is the probability of each outcomes among the n outcomes of a random experiment ?
AnswerCorrect option: B. $\frac{1}{n}$
View full question & answer→MCQ 101 Mark
For two events $A$ and $B$ of a sample space, state the event $(AB)\ (AB’).$
View full question & answer→MCQ 111 Mark
If $P(A) = 0.4$ and $P(B’) = 0.3$ for two independent events $A$ and $B$ of a sample space, then state the value of $P(A ∩ B).$
- A
$0.12$
- B
$0.42$
- ✓
$0.28$
- D
$0.18$
AnswerCorrect option: C. $0.28$
View full question & answer→MCQ 121 Mark
What is the probability of having $5$ Thursdays in the month of February in a year which is not a leap year $?$
View full question & answer→MCQ 131 Mark
If events $A$ and $B$ are independ, which of the following options is true $?$
- ✓
$P(A \cap B)= P(A) \times P(B)$
- B
$P(A \cap B)= P(A) + P(B)$
- C
$P(A \cup B)= P(A) \times P(B)$
- D
$P(A \cup B)= P(A) + P(B)$
AnswerCorrect option: A. $P(A \cap B)= P(A) \times P(B)$
View full question & answer→MCQ 141 Mark
If one number is randomly selected between $1$ and $20,$ what is the probability that the number is a multiple of $5 ?$
- A
$1/2$
- ✓
$1/6$
- C
$1/5 $
- D
$1/3$
View full question & answer→MCQ 151 Mark
What is the total number of sample points in the sample space formed by throwing three six-faced balanced dice simultaneously$ ?$
- A
$6^2$
- B
$3^6$
- C
$6 \times 3$
- ✓
$6^3$
View full question & answer→MCQ 161 Mark
Two events $A$ and $B$ of a sample space are mutually exclusive. Which of the following will be equal to $P(B-A) ?$
- A
$P(A)$
- ✓
$P(B)$
- C
$P(AB)$
- D
$P(BA)$
AnswerCorrect option: B. $P(B)$
View full question & answer→MCQ 171 Mark
Which event is given by a special subset $\Phi$ of the sample space $U ?$
- A
- B
- C
Union event of $U$ and
- ✓
View full question & answer→MCQ 181 Mark
Event $A\ A’=U,$ hence which type of the events are $A$ and $A’?$
View full question & answer→MCQ 191 Mark
$A$ and $B$ are mutually exclusive events. Hence, state the value of $P(A B)?$
- A
$P - P$
- B
$P - P(AB)$
- ✓
$P(AB)$
- D
$P + P$
AnswerCorrect option: C. $P(AB)$
View full question & answer→MCQ 201 Mark
If $P(AB)=0.9$ and $P(A)=0.5$ then what is the value of $P(AB’)? $
AnswerCorrect option: A. $0.40$
View full question & answer→MCQ 211 Mark
If $P(A B)=0.15$ and $P(A’ B)=0.25,$ then what is the value of $P(B)?$
- A
$0.1$
- ✓
$0.40$
- C
$0.6$
- D
$0.15$
AnswerCorrect option: B. $0.40$
View full question & answer→MCQ 221 Mark
What is the probability of having $5$ Monday in the month of January, $2018?$
View full question & answer→MCQ 231 Mark
$A$ and $B$ are mutually independent event. If $P(A)=0.6$ and $P(B’)=0.7$ then what is the value of $P(AB)?$
- ✓
$0.18$
- B
$0.28$
- C
$0.42$
- D
$0.12$
AnswerCorrect option: A. $0.18$
View full question & answer→MCQ 241 Mark
$A$ and $B$ are mutually exclusive event. If $P(A) =2/5$ than what is the value of $P(B)?$
View full question & answer→MCQ 251 Mark
What is the probability of an event “one who has taken his birth is sure to die”?
- A
$0$
- B
$1/2$
- ✓
$1$
- D
Between $0$ and $1$
View full question & answer→MCQ 261 Mark
Which of the following options is true when $A$ and $B$ are mutually exclusive events of $0 < P(A) < 1$ and $0 < P(B) < 1?$
AnswerCorrect option: B. $P(A \cap B) = P(B)$
View full question & answer→MCQ 271 Mark
When result $P(AB)=P(A)+P(B)-P(A) P(B)•P(B)1$ can be possible$?$
- A
When $A$ and $B$ are mutually exclusive.
- ✓
When $A$ and $B$ are exhaustive
- C
When $A$ and $B$ are mutually independent
- D
When $A$ and $B$ are mutually exclusive and exhaustive
AnswerCorrect option: B. When $A$ and $B$ are exhaustive
View full question & answer→MCQ 281 Mark
What is the maximum value of event which is not mutually exclusive event $A$ and $B?$
AnswerCorrect option: B. $P(A) + P(B)$
View full question & answer→MCQ 291 Mark
Which of the following options is true for difference event $A-B?$
- A
$A - AB$
- B
$A – AB’$
- C
$A – A’B$
- ✓
$A B’$
AnswerCorrect option: D. $A B’$
View full question & answer→MCQ 301 Mark
If $U=\{1,2,3,4,5,6\}; A=\{1,3,5\}; B=\{2,4,6\},$ hence which type of events are $A$ and $B?$
View full question & answer→MCQ 311 Mark
Which type of events are primary events?
MCQ 321 Mark
If $A$ and $B$ are independent events, the value of $P(A )$
- A
$P(A) \neq P(B)$
- B
$P(A) = P(B)$
- ✓
$P(A) + P(B)$
- D
$P(A) - P(B)$
AnswerCorrect option: C. $P(A) + P(B)$
View full question & answer→MCQ 331 Mark
If the events A and B do not occur simultaneously which type of events are those events?
MCQ 341 Mark
What is the probability of a certain event?
- A
$0$
- B
$-1$
- ✓
$1$
- D
Between $0$ and $1$
View full question & answer→MCQ 351 Mark
How will you represent symbolically the event that out of two events $A$ and $B$ at least one of them occurs?
- A
$A - B$
- B
$AB$
- ✓
$A \cup B$
- D
$A’ B’$
AnswerCorrect option: C. $A \cup B$
View full question & answer→MCQ 361 Mark
If the event $A$ and $B$ occur simultaneously, which type of events are those events$?$
View full question & answer→MCQ 371 Mark
The special subset $U$ of the sample space $U$ is which type of event?
View full question & answer→MCQ 381 Mark
What is the maximum value of $P(A),$ the probability of an event $A?$
- A
$0$
- ✓
$1$
- C
$-1$
- D
Between $-1$ and $1$
View full question & answer→MCQ 391 Mark
What is the minimum value of $P(A),$ the probability of an event $A?$
- ✓
$0$
- B
$1$
- C
$-1$
- D
Between $-1$ and $1$
View full question & answer→MCQ 401 Mark
What is the value of $P(A) + P(A’)?$
- A
$0$
- ✓
$1$
- C
$-1$
- D
Between $-1$ and $1$
View full question & answer→MCQ 411 Mark
If $U=\{-1,0,2,3,4\}; A=\{1,2,3,4\}$ and $B=\{-1,0,1\}$ then what will be $A\ B’?$
- A
$\{1,2,3,4\}$
- B
$\{1,2,3\}$
- C
$\{-1,0,1\}$
- ✓
$\{2,3,4\}$
AnswerCorrect option: D. $\{2,3,4\}$
View full question & answer→MCQ 421 Mark
$AB=$ Hence, what is the value of $P(AB)?$
- A
$-1$
- ✓
$0$
- C
$1$
- D
Between $-1$ and $1$
View full question & answer→MCQ 431 Mark
are which type of events for each other?
MCQ 441 Mark
then events $A$ and $B$ of a sample space $U$ are events of which type?
View full question & answer→MCQ 451 Mark
What is the probability of having 5 Mondays in the month of February in a year which is not a leap year ?
- ✓
$0$
- B
$\frac{1}{7}$
- C
$\frac{2}{7}$
- D
$\frac{3}{7}$
View full question & answer→MCQ 461 Mark
What is the value of $P(A \cap A')$ for events A and $A'$ ?
View full question & answer→MCQ 471 Mark
If one number is randomly selected between 1 and 20, what is the probability that the number is a multiple of 5 ?
- A
$\frac{1}{2}$
- B
$\frac{1}{6}$
- ✓
$\frac{1}{5}$
- D
$\frac{1}{3}$
AnswerCorrect option: C. $\frac{1}{5}$
View full question & answer→MCQ 481 Mark
According to the mathematical definition of probability, what is the probability of each outcome among the n outcomes of random experiment ?
AnswerCorrect option: B. $ \frac{1}{n} $
View full question & answer→MCQ 491 Mark
If $ A\cup A' = U $ then what types of events are A and $ A' $ ?
View full question & answer→MCQ 501 Mark
Which of the following options is true for any event A of the sample space ?
- A
$0 < P(A) < 1$
- B
$0 < P(A) \le 1$
- C
$0 \le P(A) < 1$
- ✓
$0 \le P(A) \le 1$
AnswerCorrect option: D. $0 \le P(A) \le 1$
View full question & answer→