Let $A$ and $B$ be independent events such that $P(A) = 0.3$ and $P(B) = 0.8$. Fin

Question

Let $A$ and $B$ be independent events such that $P(A) = 0.3$ and $P(B) = 0.8$. Find $P(A ∩ B)$. Find $P(A ∪ B)$. Are $A$ and $B$ mutually exclusive? Justify your answer. [6]

Accepted Answer

$P(A\cup B)=0.3+0.8-0.24=0.86$. The events are not mutually exclusive because their intersection has positive probability.

Calculate intersection and union probabilities for independent events and test mutual exclusivity.

Calculate intersection and union probabilities for independent events and test mutual exclusivity.

Solution:

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