document.write( "Question 1006925: suppose A and B are independent events. If P(A|B)=0.25 and P(B)=0.4, what is P(A U B)? \n" ); document.write( "

Algebra.Com's Answer #622960 by Edwin McCravy(20054) $\"\"$ $\"About$

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suppose A and B are independent events. If P(A|B)=0.25 and P(B)=0.4,
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document.write( "Since A and B are independent, P(A|B) = P(A) = 0.25, P(A&B)=P(A)P(B)\r\n" );
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document.write( "P(A U B) = P(A) + P(B) - P(A&B)\r\n" );
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document.write( "P(A U B) = P(A) + P(B) - P(A)P(B)\r\n" );
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document.write( "P(A U B) = 0.25 + 0.4 - (0.25)(0.4)\r\n" );
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document.write( "P(A U B) = 0.25 + 0.4 - 0.1\r\n" );
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document.write( "P(A U B) = 0.55\r\n" );
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document.write( "Edwin

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