document.write( "Question 1205510: A box contains 10 chocolates, of which 4 are dark chocolates and 6 are milk chocolates. If two chocolates are randomly selected without replacement, what is the probability of getting one dark chocolate and one milk chocolate in any order? \n" ); document.write( "

Algebra.Com's Answer #842362 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A box contains 10 chocolates, of which 4 are dark chocolates and 6 are milk chocolates.
\n" ); document.write( "If two chocolates are randomly selected without replacement, what is the probability
\n" ); document.write( "of getting one dark chocolate and one milk chocolate in any order?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The number of all possible different pairs without looking the order \r\n" );
document.write( "is the number of combinations of 10 items taken 2 at a time \r\n" );
document.write( "\r\n" );
document.write( "    total = =  = 5*9 = 45.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The number of pairs (dark,milk), in this order, is 4*6 = 24;\r\n" );
document.write( "the number of pairs (milk,dark), in this order, is 6*4 = 24;\r\n" );
document.write( "but since the order does not matter, we DO NOT ADD 24 + 24 - we simply take/keep the value of 24\r\n" );
document.write( "for all possible different pairs (dark,milk) or (milk,dark) of favorable pairs\r\n" );
document.write( "\r\n" );
document.write( "    favorable = 6*4 = 24.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The probability under the problem's question is\r\n" );
document.write( "\r\n" );
document.write( "    P =  =  = .    ANSWER\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( "

\n" );