document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046690>Question 1046690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a dice is rolled and a coin is tossed, answer the following questions:<BR>\n" );
document.write( "a. Provide the sample space of the above event<BR>\n" );
document.write( "b. What is the probability that the dice shows odd number and the coin shows head?<BR>\n" );
document.write( "c. Now only a coin is tossed three times but it is biased to get 75% head. What is the probability of getting one head and two tails in any order? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #662161 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=662161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a dice is rolled and a coin is tossed, answer the following questions:<BR>\n" );
document.write( "a. Provide the sample space of the above event<BR>\n" );
document.write( "6 pairs with \"head\" and 1,2,3,4,5,6<BR>\n" );
document.write( "6 pairs with \"tail\" and 1,2,3,4,5,6<BR>\n" );
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document.write( "b. What is the probability that the dice shows odd number and the coin shows head?<BR>\n" );
document.write( "(head,1);(head,3);(head,5)<BR>\n" );
document.write( "Ans:: 3/12 = 1/4<BR>\n" );
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document.write( "c. Now a coin is tossed only three times but it is biased to get 75% head. What is the probability of getting one head and two tails in any order?<BR>\n" );
document.write( "Patterns:: (h,t,t)(t,h,t)(t,t,h)<BR>\n" );
document.write( "P(h,t,t) = 1/4*(3/4)^2 = 9/48<BR>\n" );
document.write( "P(t,h,t) = (1/4)(3/4)^2 = 9/48<BR>\n" );
document.write( "P(t,t,h) = (1/4)(3/4)^2 = 9/48<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Ans:: 27/48<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );