Mutually Exhaustive Math

X and y are mutually exclusive x and y are exhaustive. A card can t be an ace and a king at the same time. The events are said to be exhaustive if p x y 1.

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If p x y is the sample space then the above two conditions will be satisfied.

Mutually exhaustive math. When two events call them a and b are mutually exclusive it is impossible for them to happen together. P a and b 0 the probability of a and b together equals 0 impossible. If a and b are said to be mutually exclusive events then the probability of an event a occurring or the probability of event b occurring is given as p a p b i e p a or b p a p b some of the examples of the mutually exclusive events are. When tossing a coin the event of getting head and tail are mutually exclusive.

Now check whether the events are exhaustive events or not. The events are said to be mutually exclusive if p x y 0. X u y u z 1 2 3 u 4 5 6 u 7 8 9 10 1 2 3 4 5 6 7 8 9 10 s. X n y n z ø.

P x y p x p y p x y 1 1 0. For this take the union of all events. P x p y. Event x y z are mutually exclusive events because.

Kings and aces are mutually exclusive. Events that can t happen at the same time. Event x y z are exhaustive events because they form a complete sample space itself.