document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926547>Question 926547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) 4-card hand is drawn from a standard deck of 52 playing cards. Find the probability that the hand contains the given cards. <BR>\n" );
document.write( "exactly 4 clubs \r<BR>\n" );
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document.write( "2)The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 68. (Order is important.) You are a winner if your sequence agrees with that in the drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. (Enter your answers as exact answers.)<BR>\n" );
document.write( " What is the probability that you are either a winner or a booby prize winner?<BR>\n" );
document.write( " <BR>\n" );
document.write( "I got 1/20748024 for probability of winning and 1/902088 for booby prize probability. \r<BR>\n" );
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document.write( "3)Eight white socks and five red socks are in a drawer. If two socks are selected at random, what is the probability that both socks are the same color?\r<BR>\n" );
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document.write( "4)An unbiased coin is tossed six times. Find the probability of the given event. (Enter your answer to five decimal places.) <BR>\n" );
document.write( "The coin lands heads exactly once. \r<BR>\n" );
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document.write( "THANK YOU! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562317 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=562317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) 4-card hand is drawn from a standard deck of 52 playing cards. Find the probability that the hand contains the given cards. <BR>\n" );
document.write( "exactly 4 clubs<BR>\n" );
document.write( "# of ways to succeed:: 13C4<BR>\n" );
document.write( "# of possible outcomes:: 52C4<BR>\n" );
document.write( "P(4 clubs) 13C4/52C2 = 0.0026<BR>\n" );
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document.write( "2)The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 68. (Order is important.) You are a winner if your sequence agrees with that in the drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. (Enter your answers as exact answers.)<BR>\n" );
document.write( " What is the probability that you are either a winner or a booby prize winner?<BR>\n" );
document.write( "P(win or boob) = P(win) + P(boob) = 1/69P4 + 1/69C4 <BR>\n" );
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document.write( " I got 1/20748024 for probability of winning and 1/902088 for booby prize probability.<BR>\n" );
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document.write( " 3)Eight white socks and five red socks are in a drawer. If two socks are selected at random, what is the probability that both socks are the same color?<BR>\n" );
document.write( "P(2 same) = P(2white) + P(2red) = [8C2 + 5C2]/13C2<BR>\n" );
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document.write( " 4)An unbiased coin is tossed six times. Find the probability of the given event. (Enter your answer to five decimal places.) <BR>\n" );
document.write( "The coin lands heads exactly once.<BR>\n" );
document.write( "P(x = 1) = 6C1(1/2)^6 = 6/64 = 3/32 = 0.09375<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
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