Important MCQs Probability Statistics 5

This Quiz contains MCQS Probability Statistics, events, experiments, mutually exclusive events, collectively exhaustive events, sure events, impossible events, addition and multiplication laws of probability, etc. Let us start the Online MCQs Probability Statistics Quiz.

MCQ about Probability
Online MCQs Exam for the Post of PPSC Statistics Lecturer and Statistical Officer

1. If the events $B_1, B_2, \cdots, B_k$ partition of this sample space $S$ that $P(B_i)\ne 0$ for $i = 1, 2, \cdots, k$)  then for any event $A$ of $S$

 
 
 
 

2. When three dice are rolled, the sample space consists of

 
 
 
 

3. When two coins are tossed the probability of at least one head is

 
 
 
 

4. The joint probability of two independent events $A$ and $B$ is

 
 
 
 

5. The total area under the curve in the probability of density function is?

 
 
 
 

6. Two mutually exclusive events

 
 
 
 

7. If $A$ denotes the males of a town and $B$ denotes the females of that town, then $A$ and $B$ are ——-?

 
 
 
 

8. To calculate posterior probability, a data professional can use _____ to update the prior probability based on the data.

 
 
 
 

9. Let $A_1, A_2, \cdots, A_n$ be $n$ events in an event space. If

\begin{align*}
P(A_iA_j) &= P(A_i)P(A_j) \quad for \quad i\ne j\\
P(A_iA_jA_k) &=P(A_i)P(A_j)P(A_k) \quad for \quad i\ne j \ne k\\
\vdots &\\
P(\cap_{i=1}^n A_i) &= \prod_{i=1}^n P(A_i)
\end{align*}

then the events are called

 
 
 
 

10. For two mutually exclusive events $A$ and $B$, $P (A) = 0.2$ and $P (B) = 0.4$, then $P(A \cup B)$ is

 
 
 
 

11. Two events $A$ and $B$ are independent if and only if

 
 
 
 

12. The classical probability method is applied to an experiment that

 
 
 
 

13. $P(A\cap B)=P(A)\cdot P(B)$, then $A$ and $B$ are

 
 
 
 

14. An event that contains the finite number point, the sample space is called

 
 
 
 

15. If $P(A \cap B) = 0.12$ and $P(A) = 0.3$, find $P(B)$ where $A$ and $B$ are independent

 
 
 
 

16. If $A$ and $B$ are mutually exclusive, then

 
 
 
 

17. A standard deck of 52 cards is shuffled. What is the probability of choosing the 5 diamonds,

 
 
 
 

18. The probability of an impossible event is always

 
 
 
 
 

19. The probability can never be

 
 
 
 

20. Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability of drawing a 7 and a king in that order?

 
 
 
 


MCQs Probability Statistics

Online MCQs Probability Statistics

  • Two events $A$ and $B$ are independent if and only if
  • If $A$ and $B$ are mutually exclusive, then
  • If the events $B_1, B_2, \cdots, B_k$ partition of this sample space $S$ that $P(B_i)\ne 0$ for $i = 1, 2, \cdots, k$)  then for any event $A$ of $S$
  • Let $A_1, A_2, \cdots, A_n$ be $n$ events in an event space. If \begin{align} P(A_iA_j) &= P(A_i)P(A_j) \quad for \quad i\ne j\ P(A_iA_jA_k) &=P(A_i)P(A_j)P(A_k) \quad for \quad i\ne j \ne k\ \vdots &\ P(\cap_{i=1}^n A_i) &= \prod_{i=1}^n P(A_i) \end{align} then the events are called
  • The classical probability method is applied to an experiment that
  • The joint probability of two independent events $A$ and $B$ is
  • Two mutually exclusive events
  • The probability can never be
  • The probability of an impossible event is always
  • If $P(A \cap B) = 0.12$ and $P(A) = 0.3$, find $P(B)$ where $A$ and $B$ are independent
  • For two mutually exclusive events $A$ and $B$, $P (A) = 0.2$ and $P (B) = 0.4$, then $P(A \cup B)$ is
  • A standard deck of 52 cards is shuffled. What is the probability of choosing the 5 diamonds,
  • When two coins are tossed the probability of at least one head is
  • Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability of drawing a 7 and a king in that order?
  • $P(A\cap B)=P(A)\cdot P(B)$, then $A$ and $B$ are
  • To calculate posterior probability, a data professional can use _ to update the prior probability based on the data.
  • When three dice are rolled, the sample space consists of
  • An event that contains the finite number point, the sample space is called
  • The total area under the curve in the probability of density function is?
  • If $A$ denotes the males of a town and $B$ denotes the females of that town, then $A$ and $B$ are ——-?

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