document.write( "Question 919262: The probability that a family owns a washing machine is .68, that it owns a DVD player is .81, and that it owns both a washing machine and a DVD player is .58. What is the probability that a randomly selected family owns a washing machine or a DVD player? \n" ); document.write( "
Algebra.Com's Answer #557606 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = event that a family owns a washing machine \n" ); document.write( "B = event that a family owns a DVD player\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, by definition\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(A) = probability that a family owns a washing machine \n" ); document.write( "P(B) = probability that a family owns a DVD player \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(A or B) = P(A) + P(B) - P(A and B)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(A or B) = 0.68 + 0.81 - 0.58\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(A or B) = 0.91\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The probability of owning a washing machine, or a DVD player, or both is 0.91\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let me know if you need more help or if you need me to explain a step in more detail. \n" ); document.write( "Feel free to email me at jim_thompson5910@hotmail.com \n" ); document.write( "or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thanks,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( " |