Probability

Question 1

Probability

Answer 1

How we quantify uncertainty/randomness

Question 2

Disjoint Events

Answer 2

Mutually exclusive

Question 3

Non-disjoint Events

Answer 3

Can co-occur

Question 4

Independent

Answer 4

Occurrence of 1 event not tell us anything about probability of other event also occurring

Question 5

Dependent

Answer 5

Occurrence of 1 event related to probability of other event also occurring

Question 6

Complement Events

Answer 6

The complement to event A are all events not included in event A

Question 7

Are disjoint events independent or dependent?

Answer 7

Dependent

Question 8

Addition Rule (disjoint events)

Answer 8

P (A or B) = P(A) + P(B)

Question 9

Addition Rule (non-disjoint events)

Answer 9

P (A or B) = P(A) + P(B) - P (A and B)

Question 10

Multiplication Rule (independent events)

Answer 10

P (A and B) = P(A) * P(B)

Question 11

How to account for drawing an observation from a total w/o replacement?

Answer 11

decreases n in bottom
12/100 * 23/99 instead of 23/100

Question 12

How to determine if events are independent?

Answer 12

Compare expected P (A and B) (from calculations) to actual

Question 13

When to use General Multiplication Rule? What is it?

Answer 13

Finds probability of 2 events co-occurring regardless of relationship
- P (A and B) = P (A given B) * P(B)