## 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.

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

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

3. The probability can never be

4. The probability of an impossible event is always

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

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

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

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

9. 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?

10. 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 $S$

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

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

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

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

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

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

17. Two mutually exclusive events

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

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

\begin{align*}
\vdots &\\
P(\cap_{i=1}^n A_i) &= \prod_{i=1}^n P(A_i)
\end{align*}

then the events are called

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

### 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
$P(A_iA_j) = P(A_i)P(A_j) \quad for \quad i\ne j$
$P(A_iA_jA_k) =P(A_i)P(A_j)P(A_k) \quad for \quad i\ne j \ne k$
$\vdots$
$P(\cap_{i=1}^n A_i) &= \prod_{i=1}^n P(A_i)$ 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 ——-?

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## Best Probability MCQs Quiz 4

The post is about the Probability MCQs Quiz. There are 25 multiple-choice questions covering the topic related to counting rules of probability, random experiments, assigning probability, events and types of events, and rules of probability. Let us start with the Probability MCQs Quiz.

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### Online Probability MCQs Quiz

• A lottery is conducted using 3 urns. Each urn contains balls numbered from 0 to 9. One ball is randomly selected from each urn. The total number of sample points in the sample space is
• Three applications for admission to a university are checked to determine whether each applicant is male or female. The number of sample points in this experiment is
• Suppose your favorite cricket team has 2 games left to finish the series. The outcome of each game can be won, lost, or tied. The number of possible outcomes is
• Each customer entering a departmental store will either buy or not buy a certain product. An experiment consists of the following 3 customers and determining whether or not they will buy any certain product. The number of sample points in this experiment is as follows:
• Two letters are to be selected at random from five letters (A, B, C, D, and E). How many possible selections are there?
• The “Top Three” at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many “Top Three” outcomes are there?
• When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the
• A method of assigning probabilities that assumes the experimental outcomes are equally likely is called
• When the results of historical data or experimentation are used to assign probability values, the method used to assign probabilities is referred to as the
• The probability assigned to each experimental outcome must be
• An experiment consists of four outcomes with $P(A) = 0.2, P(B) = 0.3, P(C) = 0.4$. The probability of the outcome $P(D)$ is
• Given that event $A$ has a probability of 0.25, the probability of the complement of event $A$
• The symbol $\cup$ shows the
• The union of events $A$ and $B$ is the event containing
• The probability of the union of two events with non-zero probabilities
• The symbol $\cap$ shows the
• The addition law helps to compute the probabilities of
• If $P(A) = 0.38, P(B) = 0.83$, and $P(A\cap B)=0.57$, then $P(A\cup B) =$ ?
• If $P(A) = 0.62, P(B) = 0.47$, and $P(A\cup B) = 0.88$, then $P(A \cap B) =$ ?
• Two events are mutually exclusive if
• Events that have no sample points in common are called
• The probability of the intersection of two mutually exclusive events
• If two events are mutually exclusive, then the probability of their intersection
• Two events, $A$ and $B$ are mutually exclusive and each has a non-zero probability. If event $A$ is known to occur, the probability of the occurrence of event $B$ is
• If $A$ and $B$ are mutually exclusive events with $P(A)=0.3$ and $P(B)=0.5$, then $P(A \cap B)=$?

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## Important MCQs Probability 3

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

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### MCQs Probability Quiz with Answers

• If $A$ and $B$ are mutually exclusive events with $P(A) = 0.3$ and $P(B) = 0.5$, then $P(A \cup B) =?$
• In an experiment, $A$ and $B$ are mutually exclusive events, if $P(A)=0.6$, then the probability of $B$
• Which of the following statements is(are) always true?
• One of the basic requirements of probability is
• Events $A$ and $B$ are mutually exclusive with $P(A)=0.3$ and $P(B) = 0.2$. The probability of the complement of Event $B$ equals
• The multiplication law is potentially helpful when we are interested in computing the probability of
• If $P(A) =0.80$, $P(B)=0.65$, and $P(A\cup B) = 0.78$, then $P(B|A) =$?
• If two events are independent, then
• If $A$ and $B$ are independent events with $P(A)=0.38$ and $P(B)=0.55$, then $P(A|B)=$?
• If $X$ and $Y$ are mutually exclusive events with $P(X) = 0.295, P(Y) = 0.32$, then $P(X|Y)=$?
• What is the probability that a ball is drawn at random from a jar?
• In statistics, a number between ———- is used to express the probability that an event will occur.
• Two events are ———- if the occurrence of one event changes the probability of the other event.
• What does Bayes’s theorem enable data professionals to calculate?
• What is conditional probability?
• Suppose two events occur: The first event is drawing an ace from a standard deck of playing cards, and the second event is drawing another ace from the same deck. Note that the first ace is not reinserted into the deck after it is drawn. What term is used to describe these two events?
• ———— probability is the updated probability of an event based on new data.
• The probability of rain tomorrow is 40%. What is the probability of the complement of this event?
• Two events are ———– if the occurrence of one event does not change the probability of the other event.
• A jar contains four marbles: Two marbles are red, one is green, and one is blue. One marble is taken from the jar. What is the probability that the marble is blue?

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## Important MCQs Probability Quiz 2

Online MCQs Probability Quiz with Answers. There are 20 multiple-choice questions covering topics related to the addition rule of probability, multiplication rule of probability, conditional probability, random experiment, and objective and subjective probability. Let us start with the MCQs Probability Quiz.

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### MCQs Probability Quiz with Answers

• Which of the following is not a correct statement about a probability
• The collection of one or more outcomes from an experiment is called
• If the occurrence of one event means that another cannot happen, then the events are
• In which approach to probability the outcomes are equally likely to occur?
• In the special rule of addition of probability, the events are always
• The joint probability is
• The special rule of multiplication of probability, the events must be
• A listing of the possible outcomes of an experiment and their corresponding probability is called
• Which of the following is not an example of a discrete probability distribution?
• Which of the following is not a condition of the binomial distribution?
• In a Poisson probability distribution
• If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven?
• If you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7?
• If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (♦) or a club(♣)?
• The probability of occurrence of an event lies between
• The tail or head, one or zero, and girl and boy are examples of
• If $P(E)$ is the probability that an event will occur, which of the following must be false?
• The addition rule states that, if the events $A$ and $B$ are ———-, then the probability of $A$ or $B$ happening is the sum of the probabilities of $A$ and $B$.
• Objective probability is based on personal feeling, experience, or judgment.
• The probability of no snow equals 1 minus the probability of snow. This is an example of what rule of probability?

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