Probability MCQs

Probability MCQs

Our team has conducted extensive research to compile a set of Probability MCQs. We encourage you to test your Probability knowledge by answering these 40 multiple-choice questions provided below.
Simply scroll down to begin!

1: Bag contain 10 back and 20 white balls, One ball is drawn at random. What is the probability that ball is white

A.   1

B.   2/3

C.   1/3

D.   4/3

2: A box contains 5 green, 4 yellow and 3 white balls. Three balls are drawn at random. What is the probability that they are not of same colour.

A.   52/55

B.   3/55

C.   41/44

D.   3/44

3: From a pack of 52 cards, two cards are drawn together, what is the probability that both the cards are kings

A.   2/121

B.   2/221

C.   1/221

D.   1/13

4: A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident

A.   30%

B.   35%

C.   40%

D.   45%

5: A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is

A.   7/19

B.   6/19

C.   5/19

D.   4/19

6: From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn.

A.   4/13

B.   1/52

C.   1/4

D.   None of above

7: A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is

A.   1/13

B.   2/13

C.   1/26

D.   1/52

8: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?

A.   2/3

B.   8/21

C.   3/7

D.   9/22

9: In a throw of coin what is the probability of getting head.

A.   1

B.   2

C.   1/2

D.   O

10: In a throw of coin what is the probability of getting tails.

A.   1

B.   2

C.   1/2

D.   O

11: Two unbiased coins are tossed. What is probability of getting at most one tail ?

A.   1/2

B.   1/3

C.   3/2

D.   3/4

12: Three unbiased coins are tossed, what is the probability of getting at least 2 tails ?

A.   1/3

B.   1/6

C.   1/2

D.   1/8

13: In a throw of dice what is the probability of getting number greater than 5

A.   1/2

B.   1/3

C.   1/5

D.   1/6

14: What is the probability of getting a sum 9 from two throws of dice.

A.   1/3

B.   1/9

C.   1/12

D.   2/9

15: Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?

A.   3/4

B.   1/4

C.   7/4

D.   1/2

16: Binomials are represented by the normal curve.

A.   True

B.   False

17: The formula for a z score is z= X – mean/S.

A.   True

B.   False

18: Probability is defined as the likelihood an event will occur.

A.   True

B.   False

19: T Scores are used to standardize scores in the normal distribution.

A.   True

B.   False

20: A curve is unimodal when it has multiple peaks.

A.   True

B.   False

21: Which of the following letters are contained in the formula for the binomial coefficient?

A.   N

B.   R

C.   S

D.   N and R

22: What is the ultimate goal of binomials?

A.   To find P values

B.   To find the p(r) value for every possible r value

C.   To find the z score

D.   To find the t score

23: What is the purpose of a z score?

A.   To create new numbers

B.   To simplify binomials

C.   To standardize scores

D.   None of these

24: The area under the normal curve represents which of the following?

A.   A set of values

B.   Standard deviations

C.   The mean

D.   The portion of scores between two raw values

25: Which of the following can be found in a z table?

A.   Nonsensical numbers

B.   T scores

C.   A chart that contains the area of the curve that is between the mean and a given z score

D.   All of these

26: Why are researchers interested in z scores that are not between –1.00 and 1.00 standard deviation from the mean?

A.   They rarely occur and give pertinent information.

B.   The scores are more complicated.

C.   The scores occur frequently and are of interest.

D.   The scores indicate causation.

27: What type of statistics allows researchers to bridge the gap between populations and samples?

A.   Descriptive statistics

B.   Inferential statistics

C.   Z statistics

D.   T statistics

28: Which of the following is the outcome of a coin flip an example of?

A.   Proportion

B.   Standard deviation

C.   Mean

D.   Probability

29: Which of the following provides a definition for a theoretical prediction?

A.   The same as an empirical outcome

B.   A policy analysis

C.   A logical prediction as to whether or not an event will occur

D.   None of these

30: Which of the following statements best describes the relationship between predictions and outcomes?

A.   They are the same general concept.

B.   They are different concepts.

C.   They are not useful in statistical research.

D.   None of these

31: _____ is known as the formula used to calculate the probability for each possible outcome of a trial and to create the binomial probability distribution.

A.   None of these

B.   Dependent variable (DV)

C.   Drawn from subsets of samples

D.   Binomial coefficient

32: Is binomial probability distribution a numerical or graphical display showing the probability associated with each possible outcome of a trial?

A.   False

B.   True

33: _____ is a trial with exactly two possible outcomes. Also called a dichotomous or binary variable empirical outcome.

A.   All of these

B.   Science

C.   Binomial

D.   They examine the mean differently.

34: _____ is defined as the total number of ways that a success r can occur over N trials.

A.   Combination

B.   They are part of Step 2 in hypothesis testing.

C.   None of these

D.   They are part of Step 3 in hypothesis testing.

35: _____ is known as a numerical result from a sample, such as a mean or frequency. Also called an observed outcome.

A.   The degree to which group data differ between groups

B.   Empirical outcome

C.   All of these

D.   The amount of diversity that exists within a single group

36: Is f Distribution the sampling distribution for ANOVA. The distribution is bounded at zero on the left and extends to positive infinity; all values in the F distribution are positive?

A.   False

B.   True

37: _____ is symbolized !, the mathematical function whereby the first number in a sequence is multiplied successively by all numbers below it down to 1.00.

A.   95%

B.   All of these

C.   10%

D.   Factorial

38: _____ is defined as any outcome other than success or the event of interest.

A.   Exhaustive

B.   All of these

C.   There is no relationship between IVs and DVs.

D.   Failure

39: _____ is known as the field of statistics in which a descriptive statistic derived from a sample is employed probabilistically to make a generalization or inference about the population from which the sample was drawn.

A.   None of these

B.   95%

C.   Inferential statistics

D.   5%

40: Is normal curve a distribution of raw scores from a sample or population that is symmetric and unimodal, and has an area of 1.00. Normal curves are expressed in raw units and differ from one another in metrics, means, and standard deviations?

A.   True

B.   False

41: _____ is a table or graph showing the entire set of probabilities associated with every possible empirical outcome.

A.   Categorical

B.   Probability distribution

C.   None of these

D.   Quadratic

42: _____ is defined as logical premises that form a set of predictions about the likelihood of certain events or the empirical results that one would expect to see in an infinite set of trials.

A.   To publish another article

B.   To see if previous studies are accurate, when new samples are used

C.   Probability theory

D.   None of these

43: _____ is known as the likelihood that a certain event will occur.

A.   >1,000

B.   <100

C.   All of these

D.   Probability

44: Is restricted multiplication rule for independent events a rule of multiplication that allows the probability that two events will both occur to be calculated as the product of each event’s probability of occurrence: that is, p(A and B) = p(A) · p(B)?

A.   False

B.   True

45: _____ is a distribution of z scores. The curve is symmetric and unimodal and has a mean of zero, a standard deviation of 1.00, and an area of 1.00.

A.   Ordinal, ratio, nominal, interval

B.   Ratio, interval, ordinal, nominal

C.   None of these

D.   Standard normal curve

46: _____ is defined as the outcome of interest in a trial.

A.   Success

B.   Interval and nominal

C.   None of these

D.   Ordinal and ratio

47: _____ is known as a prediction, grounded in logic, about whether or not a certain event will occur.

A.   These measures are not important in statistics.

B.   Theoretical prediction

C.   All of these

D.   They tell us averages.

48: Is trial an act that has several different possible outcomes?

A.   False

B.   True