Inteoduction To Probability

Question 1

How is probability denoted

Answer 1

By a numerical value from zero to one that measures the likelihood of an event occurring where zero means that the event is impossible, and one means that it is definitely occurring.

Question 2

What is a sample space in probability

Answer 2

The collection of all possible alternatives in the experiment

Question 3

What is an experimental probability?

Answer 3

A situation with a finite possible number of outcomes

Question 4

What is an event in probability?

Answer 4

Any subset of outcomes in an experiment like you’re getting a passing grade out of ABCDEF or the event would be everything except F

Question 5

What is a simple event in probability

Answer 5

An event that only contains one possible answer, one alternative of the set

Question 6

When are events exhaustive?

Answer 6

When all alternatives of the sample space is contained in one or another event

Question 7

When are events, mutually exclusive?

Answer 7

When the alternatives in an event do not occur in other events

Question 8

What does this expression mean in probability?
C=A u B

Answer 8

That event C is a union of A and B containing everything in both A and B

Question 9

What does this expression mean in probability
C=AnB

Answer 9

That event C is an intersection of A and B. The alternatives in C are the ones that exist in both A and B.

Question 10

What does this expression mean in probability.
B=A^c

Answer 10

B is a complement of event A .That B contains all alternatives in the sample set that are not in the event A

Question 11

What does this mean in probability? Ø

Answer 11

Null, a.k.a. an empty event

Question 12

What is the sum of the probabilities of any list of mutual exclusive, and exhaustive events?

Answer 12

1

Question 13

What is subjective probability?

Answer 13

An assignment of probability without assessing any data

Question 14

What is classical probability?

Answer 14

The assumption that outcomes of an experiment are equally likely

Question 15

What is empirical probability?

Answer 15

The relative frequency of occurrence is observed

Question 16

Which probability categories are considered objective probabilities

Answer 16

Classical and empirical probability

Question 17

What is the law of large numbers?

Answer 17

That his numbers get larger, the empirical probability comes closer to classical probability or the odds

Question 18

If the odds are 1:9 what is the probability of the thing to succred

Answer 18

1/(1+9)=0.1

Question 19

What is the complement rule of probability?

Answer 19

That probability of the complement of an event is equal to one minus the probability of the event

Question 20

What is the addition rule in probability

Answer 20

The probability of the union of two events is equal to the sum of the probability of the two events minus the probability of the intersection. If the events are mutually exclusive the intersection is zero so you can simply add to the probabilities of the two events

Question 21

What is the probability of an event that is conditional to another

Answer 21

The probability of their intersection, divided by the probability of the other event

Question 22

What does this mean? P(A|B)

Answer 22

The probability of a conditional on B, the likelyhood of A occurring if B has occurred

Question 23

How do you test if an event is dependent or independent of another event

Answer 23

If the probability of the event conditional to the other event is equal to the probability of the first event, they are independent of each other otherwise, they are dependent

Question 24

What is the multiplication rule in probability

Answer 24

The probability of an intersection between two events is equal to the probability of one event called conditional to the other occurring multiplied by the other event occurring

Question 25

If two events are independent, what is the probability of their intersection?

Answer 25

The probability of each event multiplied with the other

Question 26

What is a contingency table?

Answer 26

Table where each slot in the rows and columns, have a meaning, and each space represent a unique combination of the rows and columns values

Question 27

What’s the joint probability table?

Answer 27

A contingency table where each value it is the probability of the intersection of the row and column events also called joint probability or marginal probability

Question 28

What is the total probability rule?

Answer 28

The probability of an event is equal to the probability of its intersection with another event, and it’s intersection with that events complement

Question 29

When do you use Baier’s theorem?

Answer 29

When you want to upgrade a prior probability to a posterior or probability that is affected by another event

Question 30

What decides if you are going to use the combination formula or the permutation formula

Answer 30

Use the permutation formula when calculating the number of ways to choose a number off, objects from a total N number of objects if the order in which the objects are listed, it does matter and use the combination formula if it doesn’t matter.