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Suppose that $P(AB) = 0.7$, $P(A) = .20$, and $P(A\cup B) = .45$. What is the output for $P(AB^c)$?

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  • $\begingroup$ Please use MathJax to format your question. And is there anything we know about $P(\overline{X})$, if we know $P(X)$? $\endgroup$ Jun 26, 2017 at 2:45
  • $\begingroup$ I just need the formula for P(ABComplement) $\endgroup$
    – goofyui
    Jun 26, 2017 at 3:00
  • $\begingroup$ See en.m.wikipedia.org/wiki/Complementary_event $\endgroup$ Jun 26, 2017 at 3:05
  • $\begingroup$ Please use MathJax. $\endgroup$
    – Em.
    Jun 26, 2017 at 3:09
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    $\begingroup$ This is why we need you to use MathJax: What is ABComplement ? $A\cap B^\complement$ or $(A\cap B)^\complement$ . Please clarify. $\endgroup$ Jun 26, 2017 at 3:34

1 Answer 1

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Here's the idea - and I'll leave it to you to plug and chug.

To count $A \setminus B = A \cap B^C$ we have

$$ |A \setminus B| = |A| - |A \cap B| $$

A similar formula holds for probabilities. Can you take it from here?

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