document.write( "Question 1206062: A bag contains 10 red marbles, 6 white marbles, and 9 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red?\r
\n" ); document.write( "\n" ); document.write( "The probability that all the marbles are red is
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\n" ); document.write( "\n" ); document.write( "What is the probability that exactly two of the marbles are red?
\n" ); document.write( "The probability that exactly two of the marbles are red is
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\n" ); document.write( "\n" ); document.write( "What is the probability that none of the marbles are red?
\n" ); document.write( "The probability of picking no red marbles is \n" ); document.write( "

Algebra.Com's Answer #843257 by ikleyn(52873) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "A bag contains 10 red marbles, 6 white marbles, and 9 blue marbles.
\n" ); document.write( "You draw 4 marbles out at random, without replacement.
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\n" ); document.write( "(a) What is the probability that all the marbles are red?
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\n" ); document.write( "(b) What is the probability that exactly two of the marbles are red?
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\n" ); document.write( "(c) What is the probability that none of the marbles are red?
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document.write( "In all, there are  10 + 6 + 9 = 25 marbles.\r\n" );
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document.write( "Of them, 10 are red;  6+9 = 15 are NOT red.\r\n" );
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document.write( "(a)  The total number of different quadruples is   =  = 12650.\r\n" );
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document.write( "     This number goes to the denominator.\r\n" );
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document.write( "     In part (a), the number of favorable cases is  =  = 210.  \r\n" );
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document.write( "     The probability is  P =  =  = 0.0166  (rounded).    ANSWER\r\n" );
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document.write( "(b)  In part (b), the number of favorable cases is  =  = 45*105 = 4725.  \r\n" );
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document.write( "     The probability is  P =  =  = 0.3735  (rounded).    ANSWER\r\n" );
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document.write( "(c)  P =  = 0.1079 (rounded).    ANSWER\r\n" );
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