document.write( "Question 767054: In a class of 24 students, 18 like hip hop, 12 like R&B and 4 like neither style. What is the probability that a student selected at random from the class likes R&B but not hip hop? \n" ); document.write( "
Algebra.Com's Answer #467423 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In a class of 24 students, 18 like hip hop, 12 like R&B and 4 like neither style. What is the probability that a student selected at random from the class likes R&B but not hip hop? \n" ); document.write( "------ \n" ); document.write( "Draw a Venn Diagram as a rectangle with 2 interecting circles \n" ); document.write( "in it. \n" ); document.write( "--- \n" ); document.write( "# of students::: \n" ); document.write( "in the intersection::: x \n" ); document.write( "in HH but not in the intersection:: 18-x \n" ); document.write( "in RB but not in the intersection:: 12-x \n" ); document.write( "in the area that is not HH and no RB::: 4 \n" ); document.write( "------- \n" ); document.write( "Equation: \n" ); document.write( "x + 18-x + 12-x + 4 = 24 \n" ); document.write( "34-24 = x \n" ); document.write( "x = 10 \n" ); document.write( "----- \n" ); document.write( "So \"in RB but not in HH\" = 12 \n" ); document.write( "--- \n" ); document.write( "P(condition) = 12/24 = 1/2 \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " |