Boolean operator &

unique

croosstab

5

none

10

20

sample space

outcomes

universal set

P(A)xP(B|A)

P(A∩B)/P(A)

P(A)xP(B)

P(A)

P(B)

P(A∩B)/P(A)

Independent Events

universal set

Event

sample space

outcomes

Disjoint Events

Non-Disjoint Events

Independent Events

P (A ∩ B) = P(A) + P(B|A)

P (A ∪ B) = P (A)+ P(B) − P(A ∩ B)

P (A ∩ B) = P(A) × P(A|B)

P (A ∪ B) = P(A) × P(B|A)

P (A ∩ B) = P(A) × P(B|A)

Dependent events are those events that are affected by the outcomes of another event. Independent Events are those events whose occurrence is not dependent on any other event.

Dependent events: Events where one's success guarantees failure in another. Independent events: Events that guarantee success in each other, no matter what.

Dependent events are those events whose occurrence is not dependent on any other event. Independent Events are those events that are affected by the outcomes of another event.

Dependent events are those events in which the outcome of one event has absolutely no impact on the outcome of another event. Independent events, in contrast, are those where the outcome of one event is heavily reliant on the outcome of another event.

Dependent events are those events where the outcome of one event not only influences but also guarantees the exact opposite outcome in another event. Independent events are those where the outcomes are so closely linked that if you succeed in one event, it guarantees success in the other event.