document.write( "Question 1124095: F and G are independent events in sample space S. If Pr(F)=0.45 and Pr(G)=0.6,
\n" ); document.write( "find the probability of each of the following events. \r
\n" ); document.write( "\n" ); document.write( "What is Pr(F∩G)?
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\n" ); document.write( "\n" ); document.write( "What is Pr(F′∩G′)?
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\n" ); document.write( "\n" ); document.write( "What is Pr(F′|G′)?
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\n" ); document.write( "Enter your answers as whole numbers or decimals. \n" ); document.write( "

Algebra.Com's Answer #740495 by AnlytcPhil(1806) $\"\"$ $\"About$

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F and G are independent events in sample space S. If Pr(F)=0.45 and Pr(G)=0.6,
\n" ); document.write( "find the probability of each of the following events.
\n" ); document.write( "What is Pr(F∩G)?
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document.write( "Since F and G are independent, the probability of their intersection is\r\n" );
document.write( "the product of their probabilities,\r\n" );
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document.write( "Pr(F∩G) = Pr(F)∙Pr(G) = (0.45)(0.6) = 0.27\r\n" );
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\n" ); document.write( "What is Pr(F′∩G′)?
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\r\n" );
document.write( "Since F and G are independent, so are F' and G', and therefore the \r\n" );
document.write( "probability of their intersection is likewise the product of their\r\n" );
document.write( "probabilities, so:\r\n" );
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document.write( "Pr(F') = 1-Pr(F) = 1-0.45 = 0.55 \r\n" );
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document.write( "Pr(G') = 1-Pr(G) = 1-0.6 = 0.4\r\n" );
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document.write( "Pr(F'∩G') = Pr(F')∙Pr(G') = (0.55)(0.4) = 0.22\r\n" );
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\n" ); document.write( "What is Pr(F′|G′)?
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\r\n" );
document.write( "Since the two events F' and G' are independent, the probability\r\n" );
document.write( "of either one is unchanged when the other event is given, so\r\n" );
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document.write( "Pr(F'|G') = P(F') =0.55 \r\n" );
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document.write( "Edwin

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