Statistics for Data Analyst

The post is about the Online Probability MCQs 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 Probability MCQs Questions Quiz.

Online Basic Probability MCQs Questions with Answers

1. What is the probability of getting two heads when two coins are tossed/flipped?

 $1$

 $\frac{1}{4}$

 $\frac{1}{2}$

 $\frac{1}{8}$

2. If $P(A\cap B)=\phi$ then $P(A\cup B)=$

 0

 $1-P(A) – P(B)$

 $P(A) +P(B)$

 $P(A) + P(B) – P(A\cap B)$

3. If the probability that event $A$ occurs is 0.51 and the probability that event $B$ occurs is 0.64. Both events $A$ and $B$ are statistically independent, then

 The probability that both $A$ and $B$ occur is 0.3264

 The probability that $A$ occur is 1 minus Probability that $B$ occurs

 $A$ and $B$ are mutually exclusive

 $A$ and $B$ cannot both occur

4. If the probability that event $A$ occurs is 0.51 and the probability that event $B$ occurs is 0.64. The probability that both $A$ and $B$ occur is 0.23, then

 Events $A$ and $B$ are not mutually exclusive

 Events $A$ and $B$ are statistically independent

 Events $A$ and $B$ are complementary events

 Events $A$ and $B$ are mutually exclusive

5. If $P(A \,\, and\,\, B)= P(A|B) \cdot P(B)$ then both events are

 Dependent

 Mutually exclusive

 Independent

 Collectively exhaustive

6. On a single train journey, there is a probability of 0.4 that your ticket will be checked. You make a return-journey, what is the probability that your ticket will be checked only once? R Programming Language

 0.16

 0.36

 0.24

 0.48

7. Empirical probability is based on

 Observation or experimentation

 Theoretical models only

 Standard deviation

 Mean

8. If three boys are randomly selected, and the probability that they will all have birthdays in June is

 $\frac{3}{30}$

 $\frac{3}{27}$

 $\frac{1}{1728}$

 $\frac{1}{3}$

9. Suppose that you are rushing out to get to your appointment in 30 minutes. From experience, you know that most of the time you travel this distance in 30 minutes. However, half of the time there is heavy traffic. In the past, there has been heavy traffic and you have made it to your appointment within 30 minutes 34% of the time.

You get out on the street and see that there is heavy traffic. What is the chance you will get to your appointment on time?

 0.17

 0.5

 0.68

 0.34

10. Three dice are rolled. What is the probability of getting three 4s?

 $\frac{3}{4}$

 $\frac{1}{18}$

 $\frac{1}{216}$

 $\frac{1}{6}$

11. Which of the two events are mutually exclusive?

 Rolling a die and getting an even number or a 6

 Tossing two coins and getting two heads or two tails

 Rolling two dice and getting doubles or getting a sum of eight

 Drawing a card from a standard deck and getting a king or a club

12. The probability of getting a double by rolling TWO six-sided dice (with sides labeled as 1, 2, 3, 4, 5, 6) is:

 $\frac{1}{36}$

 $\frac{2}{36}$

 $\frac{1}{6}$

 $1$

13. You ask a couple of people at the beach what they think about the seagulls. You propose to them the statement: Seagulls are annoying. Their responses are as follows:

20% Strongly Agree
13% Agree
12% Neutral
50% Disagree
5% Strongly Disagree

What is the chance of a random person responding with ‘agree’ given that he/she is not neutral?

 0.15

 0.52

 0.25

 0.13

14. Suppose, you collected four shells from a beach. It is known that there are only three types of shells on this beach, and these shells occur in equal amounts. How many different events are possible?

 12

 81

 3

 4

15. You ask some students which subject they prefer: statistics or English. There are a lot of people who love statistics ($B$) and a lot of people who love English ($C$). However, some people cannot make a decision and tell you that they like both subjects ($D$). Getting some insights about results, you realized that all the female students had a positive opinion about statistics ($A$). Which of these events ($A$, $B$, $C$, $D$) are disjoint?

 A and C & B and C

 B and C & C and D

 A and C & A and D

 A and D & B and C

16. A pot has 100 balls. 20 of them are red, 50 are blue and 30 are green. You draw 5 balls from the pot without replacement. What is the probability of drawing five blue balls?

 1

 0.5

 0.028

 0.03

17. How can we define probability or chance? MCQs General Knowledge

 As a long-run relative frequency

 As the average or expected value of a random variable

 As a probable value that a random variable will take

 As the relative uncertainty about events

18. Twenty people take a statistics exam. Usman scored five out of ten and Ali scored eight out of ten. Every score (1 to 10) is equally likely. What is the chance of a random person out of the people who took the exam scoring higher than Usman, but lower than Ali?

 0.2

 0.8

 0.4

 0.22

19. A pair of dice is rolled 20 times and record how often you get a total of 5 or 10. What is your best guess for the relative frequency that this event (a total of 5 or 10) occurs without seeing the actual data?

 0.25

 0.75

 0.50

 0.194

20. You roll a dice five times. The outcomes are: 6, 6, 6, 6, 6. Then you repeat this and you find: 1, 4, 3, 5, 2. Which of the following outcomes is most likely?

 The first outcome is more likely

 None of these

 Both outcomes are equally likely

 The second outcome is more likely

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Online Probability MCQs Questions with Answers

• What is the probability of getting two heads when two coins are tossed/flipped?
• The probability of getting a double by rolling TWO six-sided dice (with sides labeled as 1, 2, 3, 4, 5, 6) is:
• You roll a dice five times. The outcomes are: 6, 6, 6, 6, 6. Then you repeat this and you find: 1, 4, 3, 5, 2. Which of the following outcomes is most likely?
• You ask a couple of people at the beach what they think about the seagulls. You propose to them the statement: Seagulls are annoying. Their responses are as follows: 20% Strongly Agree 13% Agree 12% Neutral 50% Disagree 5% Strongly Disagree What is the chance of a random person responding with ‘agree’ given that he/she is not neutral?
• You ask some students which subject they prefer: statistics or English. There are a lot of people who love statistics ($B$) and a lot of people who love English ($C$). However, some people cannot make a decision and tell you that they like both subjects ($D$). Getting some insights about results, you realized that all the female students had a positive opinion about statistics ($A$). Which of these events ($A$, $B$, $C$, $D$) are disjoint?
• Suppose, you collected four shells from a beach. It is known that there are only three types of shells on this beach, and these shells occur in equal amounts. How many different events are possible?
• Twenty people take a statistics exam. Usman scored five out of ten and Ali scored eight out of ten. Every score (1 to 10) is equally likely. What is the chance of a random person out of the people who took the exam scoring higher than Usman, but lower than Ali?
• How can we define probability or chance? MCQs General Knowledge
• Suppose that you are rushing out to get to your appointment in 30 minutes. From experience, you know that most of the time you travel this distance in 30 minutes. However, half of the time there is heavy traffic. In the past, there has been heavy traffic and you have made it to your appointment within 30 minutes 34% of the time. You get out on the street and see that there is heavy traffic. What is the chance you will get to your appointment on time?
• A pot has 100 balls. 20 of them are red, 50 are blue and 30 are green. You draw 5 balls from the pot without replacement. What is the probability of drawing five blue balls?
• On a single train journey, there is a probability of 0.4 that your ticket will be checked. You make a return-journey, what is the probability that your ticket will be checked only once? R Programming Language
• A pair of dice is rolled 20 times and record how often you get a total of 5 or 10. What is your best guess for the relative frequency that this event (a total of 5 or 10) occurs without seeing the actual data?
• If $P(A \,\, and\,\, B)= P(A|B) \cdot P(B)$ then both events are
• If the probability that event $A$ occurs is 0.51 and the probability that event $B$ occurs is 0.64. Both events $A$ and $B$ are statistically independent, then
• If the probability that event $A$ occurs is 0.51 and the probability that event $B$ occurs is 0.64. The probability that both $A$ and $B$ occur is 0.23, then
• If three boys are randomly selected, and the probability that they will all have birthdays in June is
• Three dice are rolled. What is the probability of getting three 4s?
• If $P(A\cap B)=\phi$ then $P(A\cup B)=$
• Empirical probability is based on
• Which of the two events are mutually exclusive?

R Programming Language, MCQs General Knowledge