Module 4

Question 1

Sample Space

Answer 1

a random penomena, denoted S, is the set of all possible outcomes

Question 2

Event

Answer 2

A subset of the sample space. Ex) Subset A of rolling a D6 can be rolling an even number

Question 3

Trial

Answer 3

Each occasion we observe the outcome of a random penomena

Question 4

Venn Diagrams

Answer 4

Depict the sample space and the events contained within

Question 5

Probability

Answer 5

generalization of a long-run (infinite amount) of percentage

Question 6

Law of Large Numbers

Answer 6

the long-run relative frequency of independent events get closer and closer to a single value. It says nothing about the short run. It considers the infinite long run

Question 7

Probability Rules

Answer 7

1. The probability of an event is always a number between 0-1
2. If an event never occurs then P(event)=0
3. The probability of an event A is equal to the sum of the probabilities of the distinct elements of A
4. The sum of probabilities for all of the distinct element of the sample space equals 1 P(s)=1

Question 8

Conditional Probability

Answer 8

Probability of event A given that event B had already occured

Question 9

Independent Events

Answer 9

Two events are independent if the occurrence of one event does not affect the probability of the second event