Two events A and B in a sample space are considered _____ if the probability that A will happen is the same regardless of whether or not B has happened.
A)conditional
B)correlated
C)independent
D)exclusive

Question

Quizplus · Accepted Answer

Two events A and B are considered independent if the probability of A happening is not affected by the occurrence of event B. In other words, the occurrence of event B does not provide any additional information about the occurrence of event A. This is formalized as P(A|B) = P(A), where P(A|B) denotes the conditional probability of A given B. Independence is a fundamental concept in probability theory and is used in various applications, including hypothesis testing and statistical inference.

Two Events a and B in a Sample Space Are