What are mutually exclusive and exhaustive events?
Answer (1)
Mutually exclusive events are events that cannot occur at the same time. If one event happens, the other cannot. Mathematically, for events A and B:
P(A ∩ B) = 0.
Exhaustive events are a set of events that cover all possible outcomes of an experiment. This means at least one of the events must occur.
Example: In tossing a coin, events A = "heads" and B = "tails" are mutually exclusive (can’t happen together) and exhaustive (one must happen).
If events are both mutually exclusive and exhaustive, their total probability sums to 1:
P(A) + P(B) = 1.
Comments (0)
