Let $A$ and $B$ be events with $P ( A ) = 0.2 , P ( B ) = 0.9$, and $P ( A$ and $B ) = 0.12$. Are $A$ and $B$ independent?
A) Yes
B) No

Name: Let $A$ and $B$ be events with $P ( A ) = 0.2 , P ( B ) = 0.9$, and $P ( A$ and $B ) = 0.12$. Are $A$ and $B$ independent? A) Yes B) No
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Question

Quizplus · Accepted Answer

Two events $A$ and $B$ are independent if and only if $P(A \text{ and } B) = P(A)P(B)$. Here, $P(A)P(B) = 0.2 \times 0.9 = 0.18$, which is not equal to $P(A \text{ and } B) = 0.12$. Therefore, $A$ and $B$ are not independent.

Let AAA And BBB Be Events With P(A)=0.2,P(B)=0.9P ( A ) = 0.2 , P ( B ) = 0.9P(A)=0.2,P(B)=0.9

Let $A$ And $B$ Be Events With $P ( A ) = 0.2 , P ( B ) = 0.9$