document.write( "Question 1170276: An online designer clothing marketplace purchases items from Kenneth Cole, Michael Kors and Vera Wang. The most recent purchases are shown here: \r
\n" );
document.write( "\n" );
document.write( "Product Kenneth Cole Micheal Kors Vera Wang
\n" );
document.write( "Dresses 26 57 20
\n" );
document.write( "Jeans 64 73 20\r
\n" );
document.write( "\n" );
document.write( "If one item is selected at random, find theses probabilities, expressed as reduced fractions:
\n" );
document.write( "(a) It was purchased from Micheal Kors or Vera Wang.
\n" );
document.write( "The Probability that the item selected was purchased from michael kors or vera wang is________ \n" );
document.write( "
Algebra.Com's Answer #851230 by CPhill(1987)![]() ![]() You can put this solution on YOUR website! Let's break down this probability problem step by step.\r \n" ); document.write( "\n" ); document.write( "**1. Calculate the Total Number of Items**\r \n" ); document.write( "\n" ); document.write( "First, we need to find the total number of items purchased:\r \n" ); document.write( "\n" ); document.write( "Total items = 26 (Kenneth Cole dresses) + 57 (Michael Kors dresses) + 20 (Vera Wang dresses) + 64 (Kenneth Cole jeans) + 73 (Michael Kors jeans) + 20 (Vera Wang jeans) \n" ); document.write( "Total items = 26 + 57 + 20 + 64 + 73 + 20 = 260\r \n" ); document.write( "\n" ); document.write( "**2. Calculate the Number of Items Purchased from Michael Kors or Vera Wang**\r \n" ); document.write( "\n" ); document.write( "Next, we calculate the number of items purchased from Michael Kors or Vera Wang:\r \n" ); document.write( "\n" ); document.write( "Michael Kors items = 57 (dresses) + 73 (jeans) = 130 \n" ); document.write( "Vera Wang items = 20 (dresses) + 20 (jeans) = 40 \n" ); document.write( "Michael Kors or Vera Wang items = 130 + 40 = 170\r \n" ); document.write( "\n" ); document.write( "**3. Calculate the Probability**\r \n" ); document.write( "\n" ); document.write( "Finally, we calculate the probability by dividing the number of items purchased from Michael Kors or Vera Wang by the total number of items:\r \n" ); document.write( "\n" ); document.write( "Probability = (Number of Michael Kors or Vera Wang items) / (Total items) \n" ); document.write( "Probability = 170 / 260\r \n" ); document.write( "\n" ); document.write( "**4. Reduce the Fraction**\r \n" ); document.write( "\n" ); document.write( "Now, we reduce the fraction to its simplest form. Both 170 and 260 are divisible by 10:\r \n" ); document.write( "\n" ); document.write( "170 / 10 = 17 \n" ); document.write( "260 / 10 = 26\r \n" ); document.write( "\n" ); document.write( "So the fraction is 17/26. This fraction cannot be further reduced.\r \n" ); document.write( "\n" ); document.write( "**Answer:**\r \n" ); document.write( "\n" ); document.write( "The probability that the item selected was purchased from Michael Kors or Vera Wang is 17/26. \n" ); document.write( " \n" ); document.write( " |