📈college algebra review

key term - Intersection

Definition

The intersection of two events in probability is the set of outcomes that are common to both events. It is denoted by $A \cap B$.

5 Must Know Facts For Your Next Test

  1. The intersection of events $A$ and $B$, written as $A \cap B$, represents the outcomes that both events share.
  2. If events $A$ and $B$ are mutually exclusive, then $A \cap B = \emptyset$, which means their intersection is empty.
  3. The probability of the intersection of two independent events $A$ and $B$ is given by $P(A \cap B) = P(A) \cdot P(B)$.
  4. For dependent events, the probability of their intersection can be found using conditional probability: $P(A \cap B) = P(A) \cdot P(B|A)$.
  5. In a Venn diagram, the intersection of two sets is represented by the overlapping region between the circles representing each set.

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