[LEC4]

Question 1

A subset of the set of all possible outcomes of a probabilistic experiment.

In probability studies, __________ are represented by uppercase

Answer 1

Event

Question 1

Results of an observation or experiment, or the descriptor of some potential outcome

Answer 1

Event

Question 2

The measure of the likelihood of an event happening.

Answer 2

Probability

Question 3

Measures the certainty of an event.

Answer 3

Probability

Question 4

The _____________ of two events is read as _____________. This means that both events must be met for it to count as one value.

Answer 4

Intersection (A B)
Both A and B

Question 5

The _________ of two events is read as “_______________ or _________”

Answer 5

Union
Either A or B or both A and B

Question 6

The ____________ of an event is read as “_______’. This means that the non-fullfillment or the converse/opposite event of A is the trigger for this operation.

Answer 6

Complement

Question 7

the area within the rectangle box represent all the outcomes called the

Answer 7

sample space

Question 8

Represents all the outcomes that could possible occurs

Answer 8

Sample space

Question 9

Sample Space Formula

Answer 9

P(S) = 1

Question 10

An events that can never occur and has a probability of zero, whereareas most events have probabilities between the value 0 and 1.

Answer 10

Null Event

Question 11

When two events are mutuall exclusive, the additive rule of probability states that either of the two events will occur is equal is to the sum of the probabilities of the individual events.

Answer 11

Additive Rule of Probability

Question 12

A type of probability wherein the probability of one event is directly influenced by the probability of another event.

Answer 12

Probability

Question 13

This is expressed as P (A|B) wherein the probability of an event A is influenced by the existence of event B.

Answer 13

Conditional Probability

Question 14

Fundamental rule relating marginal probabilities to conditional probabilities. It expresses the total probability of an outcome which can be realized via several distinct events.

Answer 14

Total Probability

Question 14

The __________________ states that the probability that two events A and B will occur is equal to the probability of B multiplied by the coniditional probability of A given that B has already occurred.

Answer 14

Muliplicative Rule of Probability

Question 15

A set of events that all amount to the sum 1 - meaning that there are no other possible outcomes and it must fall under one catergories.