document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214683>Question 214683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a jar contains 23 red marbles and 4 green marbles, the probability that a marble selectted from the jar at random will be green is?\r<BR>\n" );
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document.write( "If the above green is not replaced, what is the probability that the next pulled marbles is red?\r<BR>\n" );
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document.write( "if you reached into the jar 4 times, what is the probability that you would never choose a green marble (after each pullout you do not replace the chosen marble? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162121 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
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document.write( "Total number of marbles = 23 + 4 = 27 marbles\r<BR>\n" );
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document.write( "P(Green Marble) = (# of green marbles)/(# of marbles total) = 4/27 = 0.148\r<BR>\n" );
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document.write( "So the probability is 4/27 which is about a 14.8% chance\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "Since the selected marble from part a) is not replaced, the total number of marbles is now 27-1=26\r<BR>\n" );
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document.write( "P(Red Marble) = (# of red marbles)/(# of marbles total) = 23/26 = 0.885\r<BR>\n" );
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document.write( "So the probability is 23/27 which is about a 88.5% chance\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "To find the probability of NOT choosing green after four selections, you simply calculate the probability of choosing red 4 times in a row (without replacement). This works because there are only two choices in marble selection.\r<BR>\n" );
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document.write( "So the basic outline is\r<BR>\n" );
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document.write( "P(4 red) = P(red)*P(red with 1 less from total)*P(red with 2 less from total)*P(red with 3 less from total)\r<BR>\n" );
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document.write( "I'll let you take it from here. Let me know if you still need help. </SPAN>\n" );
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