MCQOPTIONS
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MCQOPTIONS
This section includes 52 Mcqs, each offering curated multiple-choice questions to sharpen your Statistics Mcqs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A subset of the sample space is called _________________? |
| A. | Sample point |
| B. | Set |
| C. | Event |
| D. | Space |
| Answer» D. Space | |
| 2. |
The probability of drawing a picture card out of 52 cards is : ______________? |
| A. | 13/52 |
| B. | 12/52 |
| C. | 16/52 |
| D. | 3/52 |
| Answer» C. 16/52 | |
| 3. |
The special rule of multiplication of probability, the events must be ______________? |
| A. | Independent |
| B. | Mutually exclusive |
| C. | Bayesian |
| D. | Empirical |
| Answer» B. Mutually exclusive | |
| 4. |
5C5 is equal to ________________? |
| A. | 5 |
| B. | 5×5 |
| C. | 1 |
| D. | None of these |
| Answer» D. None of these | |
| 5. |
In a Poisson probability distribution __________________? |
| A. | The mean and variance of the distribution are same (equal) |
| B. | The probability of success is always greater than 5 |
| C. | The number of trials is always less than 5 |
| D. | it always contains a contingency table |
| Answer» B. The probability of success is always greater than 5 | |
| 6. |
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 ? |
| A. | 4/36 |
| B. | 13/36 |
| C. | 21/36 |
| D. | 15/36 |
| Answer» E. | |
| 7. |
The product of first ‘n’ natural numbers is _____________? |
| A. | 1.2.3.4,……… |
| B. | 1.2.3……(n-2) (n-1) (n) |
| C. | n. (n-1) (n-2)…………..3.2.1.0 |
| D. | None of these |
| Answer» C. n. (n-1) (n-2)…………..3.2.1.0 | |
| 8. |
If in a coin P(H) = 2P(T) then prob. of head is ______________? |
| A. | 1/3 |
| B. | 2/3 |
| C. | 1/2 |
| D. | 0 |
| Answer» C. 1/2 | |
| 9. |
Which of the following is not a correct statement about a Probability _________________? |
| A. | It must have a value between 0 and 1 |
| B. | It can be reported as a decimal or a fraction |
| C. | A value near 0 means that the event is not likely to occur/happens |
| D. | It is the collection of several experiment |
| Answer» E. | |
| 10. |
The probability of getting exactly two heads when two balanced coins are toss once_________________? |
| A. | 1/4 |
| B. | 2/4 |
| C. | 3/4 |
| D. | 4/4 |
| Answer» B. 2/4 | |
| 11. |
If the occurrence of one event means that another cannot happen, then the events are _______________? |
| A. | Independent |
| B. | Mutually Exclusive |
| C. | Bayesian |
| D. | Empirical |
| Answer» C. Bayesian | |
| 12. |
A coin is so weighted that P (T) = 2P(H) then P(H) is _______________? |
| A. | 1/2 |
| B. | 1 |
| C. | 2/3 |
| D. | 1/3 |
| Answer» E. | |
| 13. |
If P(A/B)=1/4 and P(A∩B) =1/5 then P(B) is ________________? |
| A. | 4/5 |
| B. | 1/20 |
| C. | 0 |
| D. | 1/9 |
| Answer» B. 1/20 | |
| 14. |
In special rule of addition of probability, the events are Always:_______________? |
| A. | Independent events |
| B. | Mutually Exclusive events |
| C. | Bayesian |
| D. | Empirical |
| Answer» C. Bayesian | |
| 15. |
The probability of getting at least one head when two balance coins are tossed once __________________? |
| A. | 1/4 |
| B. | 2/4 |
| C. | 3/4 |
| D. | 4/4 |
| Answer» D. 4/4 | |
| 16. |
If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven ? |
| A. | 4/52 |
| B. | 1/26 |
| C. | 8/52 |
| D. | 1/169 |
| Answer» D. 1/169 | |
| 17. |
The joint probability is _______________? |
| A. | The likelihood of two events happening together |
| B. | The likelihood of two events happening given that another event has already ha |
| C. | Based on two mutually exclusive events |
| D. | Also called Prior probability |
| Answer» B. The likelihood of two events happening given that another event has already ha | |
| 18. |
A listing of the possible outcomes of an experiment and their corresponding probability is called:______________? |
| A. | Random Variable |
| B. | Contingency table |
| C. | Bayesian table |
| D. | Probability distribution |
| E. | Frequency distribution |
| Answer» E. Frequency distribution | |
| 19. |
If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (♦) or a club (♣)? |
| A. | 26/52=1/2 |
| B. | 13/52 |
| C. | 20/52 |
| D. | 12/52 |
| Answer» B. 13/52 | |
| 20. |
A∩B means:_______________? |
| A. | The elements of A or B |
| B. | The elements of A and B |
| C. | The elements A but not of B |
| D. | None of these |
| Answer» B. The elements of A and B | |
| 21. |
If ‘A’ denotes the males of a town and ‘B’ denotes the females of that town, then A and B are:___________? |
| A. | Equal sets |
| B. | Over lapping sets |
| C. | Non- overlapping sets |
| D. | None of these |
| Answer» D. None of these | |
| 22. |
In which approach to probability the outcomes are equally likely to occur ? |
| A. | Classical Probability |
| B. | Subjective Probability |
| C. | Relative Frequency |
| D. | Independent |
| Answer» B. Subjective Probability | |
| 23. |
The probability of drawing an even number in a toss of a balanced die ______________? |
| A. | 1/6 |
| B. | 2/6 |
| C. | 3/6 |
| D. | 6/6 |
| Answer» D. 6/6 | |
| 24. |
If P(A∩B) =1/4 then P(AUB) is ________________? |
| A. | 1/2 |
| B. | 1/3 |
| C. | 1/12 |
| D. | 3/8 |
| Answer» C. 1/12 | |
| 25. |
A box containing 12 balls of color 6 red and 6 white. A ball of white selected ball finds the probability of white____________? |
| A. | 7/12 |
| B. | 6/12 |
| C. | 12/12 |
| D. | 4/12 |
| Answer» C. 12/12 | |
| 26. |
A fair coin toss the total events in sample space equal_____________? |
| A. | 7 |
| B. | 16 |
| C. | 36 |
| D. | 6 |
| Answer» E. | |
| 27. |
If an event consists of only one sample point is called _____________? |
| A. | Appeared |
| B. | Exactly |
| C. | Space |
| D. | Elementary event |
| Answer» E. | |
| 28. |
The probability that the sum is odd if two dice are thrown:_________________? |
| A. | 18/36 |
| B. | 9/36 |
| C. | 6/36 |
| D. | 12/36 |
| Answer» B. 9/36 | |
| 29. |
The probability of getting exactly three tails when three balanced coins are tossed once _______________? |
| A. | 1/8 |
| B. | 2/8 |
| C. | 5/8 |
| D. | 7/8 |
| Answer» B. 2/8 | |
| 30. |
The probability of an event cannot be _____________? |
| A. | Positive |
| B. | Zero |
| C. | None of these |
| D. | Negative |
| Answer» E. | |
| 31. |
If the occurrence of excludes the occurrence of the other is called ________________? |
| A. | Mutually exclusive |
| B. | Exchaustive |
| C. | Likely |
| D. | Probability |
| Answer» D. Probability | |
| 32. |
The possibility of total outcome in a coin equal to _______________? |
| A. | Fifty % |
| B. | Twenty % |
| C. | 60% |
| D. | 30% |
| Answer» B. Twenty % | |
| 33. |
Events occurring together without affecting each other are called:_________________? |
| A. | Dependent events |
| B. | Independent events |
| C. | Equally likely events |
| D. | Mutually Exclusive events |
| Answer» C. Equally likely events | |
| 34. |
Addition Law of probability for mutually exclusive event is equal _______________? |
| A. | P(AUB)=P(A) + (B) |
| B. | P(AUB) = P(A) + P(B) – P(A∩B) |
| C. | P(A∩B) = P(A) + P(B) + P(A∩B) |
| D. | P(A∩B) = P(A). P(B |
| Answer» B. P(AUB) = P(A) + P(B) – P(A∩B) | |
| 35. |
If the events have same chance of occurrence they are called:_______________? |
| A. | Equally likely events |
| B. | Exhaustive events |
| C. | Mutually Exhaustive events |
| D. | dependent events |
| Answer» B. Exhaustive events | |
| 36. |
Two event are said to be equally likely is ______________? |
| A. | As any other |
| B. | both event occurs |
| C. | One occurs |
| D. | not both occurs |
| Answer» B. both event occurs | |
| 37. |
A set of events is said to be independent if probability of head on tossing a coin is _______________? |
| A. | 1/2 |
| B. | 2/3 |
| C. | 1 |
| D. | 3/4 |
| Answer» B. 2/3 | |
| 38. |
The collection of one or more outcomes from an experiment is called:__________________? |
| A. | Probability |
| B. | Event |
| C. | Random Variable |
| D. | Z-Value |
| E. | Random Experiment |
| Answer» C. Random Variable | |
| 39. |
The probability of drawing same number on two dice if two dice are thrown _________________? |
| A. | 1/36 |
| B. | 6/36 |
| C. | 12/36 |
| D. | 18/36 |
| Answer» C. 12/36 | |
| 40. |
Which of the following is not an example of a discrete probability distribution ? |
| A. | The sale or purchase price of a house |
| B. | The number of bedrooms in a house |
| C. | Whether or no t a home has a swimming pool in it. |
| D. | Non of these |
| Answer» C. Whether or no t a home has a swimming pool in it. | |
| 41. |
If P(B/A)= 0.25 and P(A∩B) = 0.2 then P(A) will equal to _______________? |
| A. | 0.05 |
| B. | 0.75 |
| C. | 0.8 |
| D. | 0.45 |
| Answer» D. 0.45 | |
| 42. |
A experiment repeated number of time one by one is called _________________? |
| A. | Random |
| B. | Raw data |
| C. | Introduce |
| D. | Specified |
| Answer» B. Raw data | |
| 43. |
All experiments have _______ properties in common? |
| A. | Four |
| B. | Three |
| C. | Two |
| D. | One |
| Answer» D. One | |
| 44. |
__________ are said to be exhaustive if they constitute the entire sample space? |
| A. | Equally |
| B. | Events |
| C. | Outcomes |
| D. | Objects |
| Answer» B. Events | |
| 45. |
The square bracket is an finite G. Series is obtained by formula _________________? |
| A. | 1/1-rn |
| B. | a/1-r |
| C. | a/1-rn |
| D. | a/(1-r)n |
| Answer» D. a/(1-r)n | |
| 46. |
The probability of drawing a diamond card out of 52 cards is ______________? |
| A. | 13/52 |
| B. | 1/2 |
| C. | 4/52 |
| D. | 0 |
| Answer» B. 1/2 | |
| 47. |
The probability of even/odd numbers when a fair die is rolled is____________? |
| A. | 1/6 |
| B. | 2/6 |
| C. | 1/36 |
| D. | 3/6 |
| Answer» E. | |
| 48. |
If two events can both occur at the same time then they are referred as:__________________? |
| A. | Dependent events |
| B. | Mutually Exclusive events |
| C. | Exclusive events |
| D. | Independent events |
| Answer» C. Exclusive events | |
| 49. |
The probability of a save event is equal to _________________? |
| A. | Two |
| B. | Three |
| C. | Four |
| D. | One |
| Answer» E. | |
| 50. |
when a three die rolled the sample space consists of _____________? |
| A. | 6 outcomes |
| B. | 24 outcomes |
| C. | 216 outcomes |
| D. | Non of these |
| Answer» D. Non of these | |