Question

Which among the following probabilites of events is correctly matched with its respective type?

• A. $\text{P(A and B)= P(A)}\times \text{P(B)}$,
  Dependent event
• B. $\text{P(A and B)= P(A)}\times \text{P(B)}$, Independent event
• C. $\text{P(A and B)= P(A)}\times \text{P(B)}$, where
  B knowing that A has occured.
  Independent Event

Answer 1

The correct option is B $\text{P(A and B)= P(A)}\times \text{P(B)}$, Independent event

The probability of two events is independent if what happens in the first event does not affect the probability of the second event. $\text{P(A and B)= P(A)}\times \text{P(B)}$

The probability of two events is dependent if what happens in the first event does affect the probability the second event. $\text{P(A and B)= P(A)}\times \text{P(B)}$, where B knowing that A has occured.