MCQs Probability Quiz Questions 13

The post is about the Online MCQs Probability Quiz Questions. There are 20 multiple-choice questions covering topics related to random experiments, random variables, probability, classical and empirical probability, rules of probability (addition and multiplication rule), conditional probability, events, types of events, and sample space. Let us start with the MCQs Probability Quiz Questions now.

Online MCQs Probability Quiz Questions with Answers

Online MCQs Probability Quiz Questions with Answers

1. Which of the following corresponds to the formula for the discrete form of Bayes’ Rule?

 
 
 
 

2. A coin is so weighted that $P(T)=2P(H)$ the $P(H)$ is ———–.

 
 
 
 

3. A box containing 12 balls of color, 6 red and 6 white. a white ball is selected. What is the probability of white ball —————?

 
 
 
 

4. —————– are said to be exhaustive if they constitute the entire sample space?

 
 
 
 

5. If a card is chosen from a standard deck of cards, what is the probability of getting a diamond or a club?

 
 
 
 

6. The license plates in a certain country bear six characters taken at random among the 26 letters of the alphabet and the ten digits $\{0, 1,\cdots,9\}$. What is the probability that a given license plate bears at least one digit?

 
 
 
 

7. If the events have same chance of occurrence, the events are called —————?

 
 
 
 

8. Two events are said to be equally likely is ————-?

 
 
 
 

9. Rolling a 6-faced die, given that the number is even, what’s the probability that we’ve got a “6”?

 
 
 
 

10. Events occurring together without affecting each other are called ————-?

 
 
 
 

11. If $P(B|A)=0.25$  and $P(A\cap B)=0.2$ then $P(A)$ will be ———–.

 
 
 
 

12. Rolling a 6-faced die, what’s the probability of seeing a “6”?

 
 
 
 

13. If in a coin $P(H)=2P(T)$ then the probability of a head is ————-?

 
 
 
 

14. A subset of the sample space is called ————?

 
 
 
 

15. Rolling two independent 6-faced dice, what’s the probability that both dice show the same number?

 
 
 
 

16. A set of events is said to be independent if the probability of head on tossing a coin is ————-?

 
 
 
 

17. The events $A$ and $B$ form a partition of the sample space $S$. Calculate $P[A|B] + P[A|B^c]$.

 
 
 
 

18. Rolling a 6-faced die, what’s the probability of seeing an even number?

 
 
 
 

19. Let $A$, $B$, and $C$ be events such that $A \subset B$, $A$, and $C$ are incompatible, $P[(B \cup C)^c] = \frac{1}{10}, P[B \cap C] = \frac{3}{10}, P[A’ \cap B] = \frac{1}{2}$ and $P[C] = \frac{13}{20}$. Calculate $P[A]$.

 
 
 
 

20. The collection of one or more outcomes from an experiment is called ————–?

 
 
 
 

Online MCQs Probability Quiz Questions with Answers

  • Rolling a 6-faced die, what’s the probability of seeing a “6”?
  • Rolling a 6-faced die, given that the number is even, what’s the probability that we’ve got a “6”?
  • Rolling a 6-faced die, what’s the probability of seeing an even number?
  • Rolling two independent 6-faced dice, what’s the probability that both dice show the same number?
  • Which of the following corresponds to the formula for the discrete form of Bayes’ Rule?
  • The license plates in a certain country bear six characters taken at random among the 26 letters of the alphabet and the ten digits ${0, 1,\cdots,9}$. What is the probability that a given license plate bears at least one digit?
  • Let $A$, $B$, and $C$ be events such that $A \subset B$, $A$, and $C$ are incompatible, $P[(B \cup C)^c] = \frac{1}{10}$, $P[B\cap C] = \frac{3}{10}$, $P[A’\cap B] = \frac{1}{2}$ and $P[C] = \frac{13}{20}$. Calculate $P[A]$.
  • The events $A$ and $B$ form a partition of the sample space $S$. Calculate $P[A|B] + P[A|B^c]$.
  • If a card is chosen from a standard deck of cards, what is the probability of getting a diamond or a club?
  • If $P(B|A)=0.25$  and $P(A\cap B)=0.2$ then $P(A)$ will be ———–.
  • A coin is so weighted that $P(T)=2P(H)$ the $P(H)$ is ———–.
  • A set of events is said to be independent if the probability of head on tossing a coin is ————-?
  • Two events are said to be equally likely is ————-?
  • A subset of the sample space is called ————?
  • The collection of one or more outcomes from an experiment is called ————–?
  • —————– are said to be exhaustive if they constitute the entire sample space?
  • Events occurring together without affecting each other are called ————-?
  • If the events have same chance of occurrence, the events are called —————?
  • If in a coin $P(H)=2P(T)$ then the probability of a head is ————-?
  • A box containing 12 balls of color, 6 red and 6 white. a white ball is selected. What is the probability of white ball —————?

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