document.write( "Question 848131: 400 families were surveyed. It was found that 90% had a TV set and 60% had a computer. Every family had at least one of these items. One of the families is randomly selected, and it id found that they have a computer. Find the probability that it also has a TV set. \n" ); document.write( "
Algebra.Com's Answer #510894 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 400 families were surveyed. It was found that 90% had a TV set and 60% had a computer. Every family had at least one of these items. One of the families is randomly selected, and it id found that they have a computer. Find the probability that it also has a TV set. \n" ); document.write( "union = # with computer + # with TV - # with both \n" ); document.write( "400 = 0.9*400 + 0.6*400 - # with both \n" ); document.write( "400 = 360 + 240 - # with both \n" ); document.write( "# with both = 200 \n" ); document.write( "P(computer AND TV) = 200/400 = 1/2 \n" ); document.write( "--------- \n" ); document.write( "P(TV | computer) + P(TV and computer)/P(computer) = 0.5/0.6 = 5/6 \n" ); document.write( "======== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |