document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206406>Question 206406</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780195979589/algebrahomeworkh>New Syllabus Mathematics D</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am unable to solve this question. Please help me know how to solve it.<BR>\n" );
document.write( "A fair coin is thrown and a card is picked from a suit of 13 diamonds of well-shuffled playing cards. List the sample space. Find the probability of getting<BR>\n" );
document.write( "(a)	A head and a red card<BR>\n" );
document.write( "(b)	A tail and an ace,<BR>\n" );
document.write( "(c)	A head and a picture card,<BR>\n" );
document.write( "(d)	A tail and a card bearing a number divisible by 3,<BR>\n" );
document.write( "(e)	A head and a queen of heart.\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 #155973 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=155973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A fair coin is thrown and a card is picked from a suit of 13 diamonds of well-shuffled playing cards. List the sample space. Find the probability of getting<BR>\n" );
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document.write( "These are independent events because the sample space for each share no<BR>\n" );
document.write( "common elements.<BR>\n" );
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document.write( "(a) P(A head and a red card)=P(head)*P(red) = 1/2*1 = 1/2<BR>\n" );
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document.write( "(b) P(A tail and an ace) = P(tail)*P(ace) = 1/2 * 1/13 = 1/26<BR>\n" );
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document.write( "(c) P(A head and a picture card)= P(head)*P(picture) = 1/2 * 3/13 = 3/26<BR>\n" );
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document.write( "(d) P(A tail and a card bearing a number divisible by 3) = (1/2)*3/13=3/26<BR>\n" );
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document.write( "(e) P(A head and a queen of heart) = P(head)*P(queen) = 1/2*1/13 = 1/26<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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