Events

Overlapping events probability

Overlapping events probability

The formula for finding the either/or probability for overlapping events is P(A) +P(B) - P (A and B). This formula is similar to the non-overlapping events, but we must subtract the probability that the outcomes may happen together. P (A or B)

  1. How are probabilities affected when events are mutually exclusive or overlapping?
  2. Can mutually exclusive events overlap?

How are probabilities affected when events are mutually exclusive or overlapping?

If two events are disjoint, then the probability of them both occurring at the same time is 0. If two events are mutually exclusive, then the probability of either occurring is the sum of the probabilities of each occurring.

Can mutually exclusive events overlap?

The sets will not overlap in the case of mutually exclusive events. The sets will overlap in the case of independent events.

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