Important MCQs Probability Statistics 5

The post is about MCQs Probability Statistics. There are 20 multiple-choice questions covering topics related to events and types of events, basics of probability and types of probability, and addition and multiplication rules of probability. Let us start with the MCQs Probability Statistics.

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

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

 
 
 
 

2. 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 $S$

 
 
 
 

3. The probability of an impossible event is always

 
 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

7. 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?

 
 
 
 

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

 
 
 
 

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

 
 
 
 

10. The probability can never be

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

18. 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

 
 
 
 

19. Two mutually exclusive events

 
 
 
 

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

 
 
 
 

Question 1 of 20

Online MCQs Probability Statistics

MCQs Probability Statistics with Answers
  • 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
    $P(A_iA_j) = P(A_i)P(A_j) \quad for \quad i\ne j$
    $P(A_iA_jA_k) =P(A_i)P(A_j)P(A_k) \quad for \quad i\ne j \ne k$
    $\vdots$
    $P(\cap_{i=1}^n A_i) = \prod_{i=1}^n P(A_i)$ 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 ——-?
statistics help: MCQs Probability Statistics with Answers

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