document.write( "Question 456011: There are 5 nickels, 8 dimes, and 7 quarters in a bag. You randomly draw 5 coins out of the bag all at once. What is the probability that you will draw 2 nickels, 2 dimes, and 1 quarter? \n" ); document.write( "
Algebra.Com's Answer #313019 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! There are 5 nickels, 8 dimes, and 7 quarters in a bag. \n" ); document.write( "You randomly draw 5 coins out of the bag all at once. \n" ); document.write( "What is the probability that you will draw 2 nickels, 2 dimes, and 1 quarter? \n" ); document.write( "------------------- \n" ); document.write( "# of ways to pick 2 nickels: 5C2 = 10 \n" ); document.write( "# of ways to pick 2 dimes::: 8C2 = 56 \n" ); document.write( "# of ways to pick 1 quarter: 7C1 = 7 \n" ); document.write( "---- \n" ); document.write( "# of ways to pick 2 n, 2d and 1q = 10*56*7 = 3920 \n" ); document.write( "--- \n" ); document.write( "# of ways to pick 5 coins randomly: 20C5 = 15504 \n" ); document.write( "============================ \n" ); document.write( "Prob of picking 2n/2d/1q = 3920/15504 = 0.2528 \n" ); document.write( "================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " \n" ); document.write( " |