document.write( "Question 510174: 4.1.A supplier shipped a lot of six parts to a company. The lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects. How large a sample space is the customer potentially working with? List the sample space. Using the sample space list, determine the probability that the customer will select a sample with exactly one defect. \n" ); document.write( "
Algebra.Com's Answer #341746 by stanbon(75887) ![]() You can put this solution on YOUR website! A supplier shipped a lot of six parts to a company. The lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects. \n" ); document.write( "--------------------------------------- \n" ); document.write( "How large a sample space is the customer potentially working with? \n" ); document.write( "# of elements in the sample space: 6C2 = 15 \n" ); document.write( "I will not list them. \n" ); document.write( "--------------------------- \n" ); document.write( "Using the sample space list, determine the probability that the customer will select a sample with exactly one defect. \n" ); document.write( "--- \n" ); document.write( "# of elements in the sample space: 6C2 = 15 \n" ); document.write( "I will not list them. \n" ); document.write( "----- \n" ); document.write( "P(2 defects) = (3/6)^2 = 1/4 \n" ); document.write( "P(no defects) = (1/2)^2 = 1/4 \n" ); document.write( "So, P(1 defect) = 1- [1/4 + 1/4] = 1/2 \n" ); document.write( "------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " |