document.write( "Question 1088666: A box contains 2 white and 3 blue identical marbles. If two marbles are picked at Random, one after the other, without replacement, What is the probability of picking two marbles of different colours? \n" ); document.write( "
Algebra.Com's Answer #702972 by KMST(5328)\"\" \"About 
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I can label those marbles so that I could tell them apart
\n" ); document.write( "(B1, B2, B3, will be the blue ones; W4, W5 the white ones).
\n" ); document.write( "There are \"5%2A4%2F2=10\" possible pairs of marbles
\n" ); document.write( "that I will be able to distinguish from one another
\n" ); document.write( "(representing \"5%2A4=20\" ordered pairs).
\n" ); document.write( "There is only \"1\" of those pairs made of two white marbles,
\n" ); document.write( "and there are only \"3\" of those pairs made of two blue marbles.
\n" ); document.write( "That is \"1%2B3=4\" pairs with matching marbles (same color).
\n" ); document.write( "The remaining \"10-4=6\" possible pairs of marbles
\n" ); document.write( "are made up of two marbles of different colors.
\n" ); document.write( "The possibility of that happening is \"6%2F10=0.6=%2260%25%22\" ,
\n" ); document.write( "because 6 of the 10 possible pairs of marbles were not matching colors.
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