Probability of Mutually Exclusive and Non-Mutually Exclusive Events

Definition: Mutually exclusive events are events that cannot occur at the same time. In other words, they have no outcomes in common.
Probability Formula: The probability of either event A or event B occurring is the sum of their individual probabilities. P(A \text{ or } B) = P(A) + P(B)
- Where:
  - P(A \text{ or } B) is the probability of either A or B occurring
  - P(A) is the probability of event A occurring.
  - P(B) is the probability of event B occurring.

Definition: Non-mutually exclusive events are events that can occur at the same time. They have some outcomes in common.
Probability Formula: The probability of either event A or event B occurring is the sum of their individual probabilities minus the probability of both A and B occurring. P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)
- Where:
  - P(A \text{ or } B) is the probability of either A or B occurring
  - P(A) is the probability of event A occurring.
  - P(B) is the probability of event B occurring.
  - P(A \text{ and } B) is the probability of both A and B occurring.