document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195138>Question 1195138</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains red, white, green, and blue marbles. There are an equal number of red marbles and white marbles, and fice times as many green marbles as blue marbles. There is a 35% chance of selecting a red marble first. What is the fewest possible number of green marbles in the bag? </SPAN>\n" );
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document.write( "The probability is 35% that a red marble is selected first, and the numbers of red and white marbles are the same, so the probability is also 35% that a white marble is selected first.<br><BR>\n" );
document.write( "That means the probability of selecting either a blue or green marble first is (100-35-35) = 30%.<br><BR>\n" );
document.write( "Then, since the number of green marbles is 5 times the number of blue marbles, that 30% probability of selecting either a blue or a green breaks down into a 25% probability of selecting a green and a 5% probability of selecting a blue.<br><BR>\n" );
document.write( "The ratio of the numbers of marbles of the different colors is the same as the ratio of the probabilities of selecting each color first: B:G:R:W = 5:25:35:35 = 1:5:7:7.<br><BR>\n" );
document.write( "So the smallest possible number of green marbles in the bag is 5.<br><BR>\n" );
document.write( "ANSWER: 5<br><BR>\n" );
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