document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86682>Question 86682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help if someone can help me with just these three problems and please explain them to me step by step because i am having difficulty with them....I would greatly appreciated it...\r<BR>\n" );
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document.write( "Problem #1\r<BR>\n" );
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document.write( "Draw a vendiagram and use the given information to fill in the number of elements for each region.\r<BR>\n" );
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document.write( "n (A ' ) = 28 , n(B) = 25, n (A' U B ' ) = 45, n(A (upside down U ) B )=12\r<BR>\n" );
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document.write( "Problem #2\r<BR>\n" );
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document.write( "Let A and B independent events with P (A) = (1)/(4) and P(B) = (1)/(5).<BR>\n" );
document.write( "Find P(A (Upside down U) B) and P(A U B)\r<BR>\n" );
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document.write( "Problem #3<BR>\n" );
document.write( "In the previous section, we described an experiment in which the numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement. Find each probability <BR>\n" );
document.write( "The probability that the first number is 3, given the following.<BR>\n" );
document.write( "a. The sum is 7.<BR>\n" );
document.write( "b. The sum is 8.\r<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 #62706 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=62706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a vendiagram and use the given information to fill in the number of elements for each region. <BR>\n" );
document.write( "n (A ' ) = 28 , n(B) = 25, n (A' U B ' ) = 45, n(A (upside down U ) B )=12 <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Draw two intersecting circles inside a rectangle.<BR>\n" );
document.write( "Label them A and B.<BR>\n" );
document.write( "Put a 12 in the intersection of A and B.<BR>\n" );
document.write( "Since B has 25 put 25-12 = 13 in the remaining section of B.<BR>\n" );
document.write( "Since A' is 28 put a 28-13 = 15 in the rectangle but in neither circle.<BR>\n" );
document.write( "Since (A' OR B') = (A and B)' put 45-(13+15)=17 in the unnumbered region<BR>\n" );
document.write( "of A.<BR>\n" );
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document.write( "Problem #2 \r<BR>\n" );
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document.write( "Let A and B independent events with P (A) = (1)/(4) and P(B) = (1)/(5).<BR>\n" );
document.write( "Find P(A (Upside down U) B)<BR>\n" );
document.write( "since A and B are independent the answer is (1/4)(1/5) = 1/20<BR>\n" );
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document.write( "P(A U B) = P(A)+P(B)-P(A intersect B) = 1/4 + 1/5 - 1/20 = 8/20 = 2/5<BR>\n" );
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document.write( "Problem #3<BR>\n" );
document.write( "In the previous section, we described an experiment in which the numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement. Find each probability <BR>\n" );
document.write( "The probability that the first number is 3, given the following.<BR>\n" );
document.write( "a. The sum is 7.<BR>\n" );
document.write( "b. The sum is 8. <BR>\n" );
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document.write( "Answered Previously.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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