Algebra.Com's Answer #815406 by ikleyn(52835)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
.
\n" );
document.write( "A basket contains two apples, three lemons, and one orange. If two fruits are drawn at random with
\n" );
document.write( "replacement, find the probability of drawing:
\n" );
document.write( "a) two apples
\n" );
document.write( "b) one lemon on the first draw and one orange on the second draw
\n" );
document.write( "c) one apple and one orange
\n" );
document.write( "d) one lemon on the first draw only
\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "The notice common for parts (a), (b) and (c) is that the total number of fruits is 2 + 3 + 1 = 6.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "\r\n" );
document.write( "(a) P =  =  =  . ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " The first factor  is the probability to draw one of the two apples from the total of 6 fruits.\r\n" );
document.write( "\r\n" );
document.write( " The second factor  is the probability to draw the remaining single apple from the remaining 5 fruits.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b) P =  =  . ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " The first factor  is the probability to draw one lemon from the total 6 fruits.\r\n" );
document.write( "\r\n" );
document.write( " The second factor is the probability to draw one orange from the remaining 5 fruits.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(c) When we consider case (c), we should treat two cases P(apple,orange) + P(orange,apple).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " It may be boring. There is another way using combinations\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " P =  =  =  . ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(d) In case (d), I do not understand clearly what the question is, so I will not answer it.\r\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "Solved.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( " |