document.write( "Question 292242: There are 15 balls in a rectangular box 5 are red, 6 are yellow and the rest is green. If 2 balls are selected at random without replacement one after the other, what is the probability that they are: a) both green (b) of the same color. \n" ); document.write( "
Algebra.Com's Answer #211156 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! There are 15 balls in a rectangular box 5 are red, 6 are yellow and the rest is green. If 2 balls are selected at random without replacement one after the other, what is the probability that they are: \n" ); document.write( "a) both green \n" ); document.write( "There are 4 green balls, 15 balls total. \n" ); document.write( "The 1st is 4/15, the 2nd is 3/14. \n" ); document.write( "(4/15)*(3/14) = 2/35 \n" ); document.write( "(b) of the same color. \n" ); document.write( "That can be: \n" ); document.write( "2 red \n" ); document.write( "(5/15)*(4/14) = 20/210 \n" ); document.write( "2 yellow \n" ); document.write( "(6/15)*(5/14) = 30/210 \n" ); document.write( "2 green = 12/210 \n" ); document.write( "------------------ \n" ); document.write( "Add those up = 62/210 = 31/105 \n" ); document.write( " \n" ); document.write( " |