document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72599>Question 72599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	In shipment containing 10 TV sets, 2 are defective.  Two TV sets are taken for inspection in succession without replacement.  What is the probability that<BR>\n" );
document.write( "a.	A defective TV sets shall be taken on the first draw?<BR>\n" );
document.write( "b.	A non-defective shall be taken on the first and a non-defective on the second?<BR>\n" );
document.write( "c.	A non-defective on the second given that it is a non-defective on the first?<BR>\n" );
document.write( "2.	Two balls are drawn in succession with replacement from a box containing 5 red, 4 blue, and 2 yellow balls.  If the first ball drawn is red, then what is the probability that the second ball is drawn<BR>\n" );
document.write( "a.	Red<BR>\n" );
document.write( "b.	Blue<BR>\n" );
document.write( "c.	Yellow<BR>\n" );
document.write( "3.	If a cards is drawn from a deck of 52 playing cards, then what is the probability of getting<BR>\n" );
document.write( "a.	A red card and a face card<BR>\n" );
document.write( "b.	A diamond and a number below 6<BR>\n" );
document.write( "c.	A black and a spade<BR>\n" );
document.write( "4.	In a council meeting, 5 representatives are seniors, 4 are juniors, 3 are sophomores and 2 are freshmen.  The council decided to form a committee with 4 members,  If all the representative are given an equal chance of being selected as committee members, then what is the probability that<BR>\n" );
document.write( "a.	The members consists of different year level<BR>\n" );
document.write( "b.	Two are seniors and 2 are juniors<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52212 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=52212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. In shipment containing 10 TV sets, 2 are defective. Two TV sets are taken for inspection in succession without replacement. What is the probability that<BR>\n" );
document.write( "a. A defective TV sets shall be taken on the first draw?<BR>\n" );
document.write( "2/10<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "b. A non-defective shall be taken on the first and a non-defective on the second?<BR>\n" );
document.write( "(8/10)(7/9) because of \"without replacement\" these are dependent events.<BR>\n" );
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document.write( "c. A non-defective on the second given that it is a non-defective on the first?<BR>\n" );
document.write( "P(N|N) = (7/9)<BR>\n" );
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document.write( "2. Two balls are drawn in succession with replacement from a box containing 5 red, 4 blue, and 2 yellow balls. If the first ball drawn is red, then what is the probability that the second ball is drawn<BR>\n" );
document.write( "COMMENT: Because of \"with replacement\" it doesn't matter what happened on the<BR>\n" );
document.write( "first draw.<BR>\n" );
document.write( "a. P(Red)=5/11<BR>\n" );
document.write( "b. P(Blue)=4/11<BR>\n" );
document.write( "c. P(Yellow)=2/11<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "3. If a cards is drawn from a deck of 52 playing cards, then what is the probability of getting<BR>\n" );
document.write( "a. P(A red card and a face card)= 6/52<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "b. P(A diamond and a number below 6) = 4/52<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "c. P(A black and a spade)=13/52<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "4. In a council meeting, 5 representatives are seniors, 4 are juniors, 3 are sophomores and 2 are freshmen. The council decided to form a committee with 4 members, If all the representative are given an equal chance of being selected as committee members, then what is the probability that<BR>\n" );
document.write( "a. The members consists of different year leve<BR>\n" );
document.write( "There are 5*4*3*2 groups of four with one member from each class.<BR>\n" );
document.write( "There are 14C4 different groups of four<BR>\n" );
document.write( "P(all four members are from a different class) = 5*4*3*2/14C4=0.11<BR>\n" );
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document.write( "b. (Two are seniors and 2 are juniors)<BR>\n" );
document.write( "There are 5C2*4C2 = 60 groups of four that have 2 seniors and 2 juniors<BR>\n" );
document.write( "There are 14C4 groups of four<BR>\n" );
document.write( "P(2 seniors and 2 juniots) = 60/14C4 =0.05994<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );