document.write( "Question 254695: A bag contains 7 red balls numbered 1,2,4,5,6,7 and 3 white balls numbered 3,8,9. If a ball is drawn at random, what is the probability the ball is:\r
\n" );
document.write( "\n" );
document.write( "A. red or odd numbered?
\n" );
document.write( "B. white or even numbered> \n" );
document.write( "
Algebra.Com's Answer #187027 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! If we look at the given information, there are 6 red and 3 white, not 7 and 3. I will use the 6 and 3 numbering: \n" ); document.write( "(i) P(red or odd) means \n" ); document.write( "(ii) P(red) + p(odd) \n" ); document.write( "P(red) = 6/9 \n" ); document.write( "P(odd) = 5/9 \n" ); document.write( "however, some red are also odd and need to be subtracted, so we adjust (ii) to get \n" ); document.write( "(iii) P(red) + p(odd) - p(red and odd). \n" ); document.write( "So, we get \n" ); document.write( "P(red) + p(odd) - p(red AND odd) = 6/9 + 5/9 - 3/9 = 8/9 \n" ); document.write( "-- \n" ); document.write( "(B) P(white or even) = P(white) + p(even) - P(white AND even) \n" ); document.write( "P(white or even) = 3/9 + 4/9 - 1/9 = 6/9 = 2/3 \n" ); document.write( " |