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Suppose A and B are dependent events. If P(ATB) - 0.55 and P(B) - 03, what isP(ANB)?A. 0.11B. 0.275C. 0.22D. 0.165

User Jamix
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Answer:


P(A\cap B)=\text{0}165

Explanation:

The events that their probability of occurring is affected by other events are called DEPENDENT events.

If A and B are dependent then the probability of both occurring is represented as:


P(A\text{ and B)=P(B)}\cdot P(A|B)

Therefore,


\begin{gathered} P(A\cap B)=\text{0}.3\cdot0.55 \\ P(A\cap B)=\text{0}.165 \end{gathered}

User Briefkasten
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