document.write( "Question 1060502: Two urns contain white balls and yellow balls. The first urn contains 2 white balls and 7 yellow balls and the second urn contains 3 white balls and 10 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white? \n" ); document.write( "
Algebra.Com's Answer #675440 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Urn1: 2W & 7y \n" ); document.write( "Urn2: 3W & 10y \n" ); document.write( "P1 = P(Urn1 -> white ball) \n" ); document.write( "P2 = P(Urn2 -> white ball) \n" ); document.write( ": \n" ); document.write( "P = P1*P2 (P is the probability that both balls will be white) \n" ); document.write( "Now, \n" ); document.write( "In urn1, there are 9 balls in total, with 2 of them white: \n" ); document.write( "P1 = 2/9 \n" ); document.write( "In urn2 there are 13 balls in total, with 3 of them white: \n" ); document.write( "P2 = 3/13 \n" ); document.write( ": \n" ); document.write( "P = P1 * P2 \n" ); document.write( "P = (2/9)*(3/13) \n" ); document.write( "P = 2/39 or in percentage 5.13% \n" ); document.write( " |