Mutually Exclusive Probabilities: A vs. B

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SUMMARY

The discussion centers on the concept of mutually exclusive probabilities, specifically regarding events A and B with probabilities of 0.3 and 0.8, respectively. It is established that for A and B to be mutually exclusive, the equation P(A ∪ B) = P(A) + P(B) must hold true. Given the probabilities provided, it is concluded that A and B cannot be mutually exclusive since their combined probability exceeds 1.

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Dobie5
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Hey everyone. Question! If the probability of A is .3 and the probability of B is .8, can A and. B be mutually exclusive? This is confusing me!
 
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They can be mutually exclusive if $\displaystyle P(A\cup B) = P(A)+P(B)$

In your case I don't like the chances!
 

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