document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001039>Question 1001039</A>: <I><SPAN STYLE=\"word-break: break-all;\"> These are Conditional Probability questions of events involving \"AND\" and I'm having trouble understanding how to solve them. So If someone kindly could show and explain why then I would be so happy :) Thank You.\r<BR>\n" );
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document.write( "A pet store has seven puppies, including four poodles, two terriers, and one retriever. If Rebecka and Aaron, in that order, each select one puppy at random, with replacement ( they may both select the same one), find the probability of each event.                                                      <BR>\n" );
document.write( "14) Rebecka selects a retriever, Aaron selects a terrier<BR>\n" );
document.write( "16) both select a retriever\r<BR>\n" );
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document.write( "So...the next one is a follow up question with the same dogs <BR>\n" );
document.write( "Suppose two puppies are selected as earlier, but this time without replacement (Rebecka and Aaron cannot both select the same puppy). Find the probability of each event.<BR>\n" );
document.write( "17) both select a poodle<BR>\n" );
document.write( "18) Aaron selects a terrier, given Rebecka selects a poodle<BR>\n" );
document.write( "19) Aaron selects a retriever, given Rebecka selects a poodle<BR>\n" );
document.write( "20) Rebecka selects a retriever<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618374 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=618374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A pet store has seven puppies, including four poodles, two terriers, and one retriever. <BR>\n" );
document.write( "If Rebecka and Aaron, in that order, each select one puppy at random, with replacement ( they may both select the same one), find the probability of each event. <BR>\n" );
document.write( "14) Rebecka selects a retriever AND Aaron selects a terrier<BR>\n" );
document.write( "Ans:P(retriever AND terrier) = P(retriever)*P(terrier) = (1/7)(2/7) = 1/7<BR>\n" );
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document.write( "16) both select a retriever<BR>\n" );
document.write( "Ans: P(retriever AND retriever) = [P(retriever)]^2 = (1/7)^2 = 1/14<BR>\n" );
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document.write( "So...the next one is a follow up question with the same dogs <BR>\n" );
document.write( "Suppose two puppies are selected as earlier, but this time without replacement (Rebecka and Aaron cannot both select the same puppy). Find the probability of each event.<BR>\n" );
document.write( "[A pet store has seven puppies, including four poodles, <BR>\n" );
document.write( "two terriers, and one retriever.]<BR>\n" );
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document.write( "17) both select a poodle<BR>\n" );
document.write( "P(poodle AND poodle) = (4/7)(3/6) = 12/42 = 6/21 = 2/7<BR>\n" );
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document.write( "18) Aaron selects a terrier, given Rebecka selects a poodle<BR>\n" );
document.write( "P(terrier | poodle) = (2/6)(4/7) = 4/21<BR>\n" );
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document.write( "19) Aaron selects a retriever, given Rebecka selects a poodle<BR>\n" );
document.write( "P(retriever |poodle) = (1/6)(4/7) = 2/21<BR>\n" );
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document.write( "20) Rebecka selects a retriever<BR>\n" );
document.write( "Ans: 1/7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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