Question 1124095
F and G are independent events in sample space S. If Pr(F)=0.45 and Pr(G)=0.6,
find the probability of each of the following events.
What is Pr(F∩G)? 
<pre>
Since F and G are independent, the probability of their intersection is
the product of their probabilities,

Pr(F&#8745;G) = Pr(F)&#8729;Pr(G) = (0.45)(0.6) = 0.27

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</pre>
What is Pr(F&#8242;&#8745;G&#8242;)?
<pre>
Since F and G are independent, so are F' and G', and therefore the 
probability of their intersection is likewise the product of their
probabilities, so:

Pr(F') = 1-Pr(F) = 1-0.45 = 0.55 

Pr(G') = 1-Pr(G) = 1-0.6 = 0.4

Pr(F'&#8745;G') = Pr(F')&#8729;Pr(G') = (0.55)(0.4) = 0.22

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</pre>
What is Pr(F&#8242;|G&#8242;)?
<pre>
Since the two events F' and G' are independent, the probability
of either one is unchanged when the other event is given, so

Pr(F'|G') = P(F') =0.55 

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Edwin</pre>