document.write( "Question 478994: A box contains 5 red balls and 10 blue balls. A) How many samples of 3 balls are possible? B) How many samples will have all red balls? C) What is the probability the sample will have 3 red balls? D)What are the odds in favor of drawing a blue ball? \n" ); document.write( "
Algebra.Com's Answer #328220 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A box contains 5 red balls and 10 blue balls. \n" ); document.write( "A) How many samples of 3 balls are possible?;;15C3 \n" ); document.write( "-------------------------- \n" ); document.write( "B) How many samples will have all red balls?::5C3 \n" ); document.write( "---------------------------- \n" ); document.write( "C) What is the probability the sample will have 3 red balls?::5C3/15C3 \n" ); document.write( "---------------------------- \n" ); document.write( "D)What are the odds in favor of drawing a blue ball? \n" ); document.write( "P(draw a blue) = 10/15 = 2/3 \n" ); document.write( "P(not draw a blue) = 5/15 = 1/3 \n" ); document.write( "---- \n" ); document.write( "Odds in favor of drawing a blue = (2/3)/(1/3) = 2:1 \n" ); document.write( "--- \n" ); document.write( "what is the probability that it will have 2 red balls? \n" ); document.write( "You are drawing 3 from 5 red and 10 blue. \n" ); document.write( "P(exactly 2 red) = ? \n" ); document.write( "# of ways to get 2 red = 5C2 = 10 \n" ); document.write( "# of ways to get 1 blue = 10C1 = 10 \n" ); document.write( "--- \n" ); document.write( "# of ways to get 3 balls randomly: 15C3 \n" ); document.write( "-- \n" ); document.write( "P(exactly 2 red) = (10*10)/15C3 = 100/455 = 20/91\r \n" ); document.write( "\n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |