document.write( "Question 1135919: Find probability of P(E and F) if P(E or F) = 0.60
\n" ); document.write( " If P((E) = 0.25
\n" ); document.write( " and P(F) = 0.40\r
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Algebra.Com's Answer #753628 by ikleyn(53764) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "    Find probability  P(E and F)  if  P(E or F) = 0.60,  P(E) = 0.25  and  P(F) = 0.40.\r\n" );
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document.write( "There is nothing easier.\r\n" );
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document.write( "Use the general formula of the Probability Theory\r\n" );
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document.write( "    P(E or F) = P(E) + P(F) - P(E and F),\r\n" );
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document.write( "which is valid for any two events E and F.\r\n" );
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document.write( "From this formula, you will get\r\n" );
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document.write( "    P(E and F) = P(E) + P(F) - P(E or F),\r\n" );
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document.write( "which implies, after substituting the given data,\r\n" );
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document.write( "    P(E and F) = 0.25 + 0.40 - 0.60 = 0.65 - 0.60 = 0.05.\r\n" );
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document.write( "ANSWER.  P(E and F) = 0.05.\r\n" );
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