document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=483545>Question 483545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q:1  A card is drawn from a deck of 52 cards,then replaced  and a second card is drawn<BR>\n" );
document.write( "1)What is the probability of drawing same card twice?<BR>\n" );
document.write( "2)What is the probability of drawing a 3 of hearts and then a 4 of spades?<BR>\n" );
document.write( "3)Calculate above mentioned probabilities if first card is not replaced?\r<BR>\n" );
document.write( "\n" );
document.write( "Q:2 A information source produces 0's and 1's with probabilities of 0.3 and 0.7 respectively.The output of the source is transmitted via channel that has a probability of error(turning 1 into 0 and 0 into 1 ) equal to  0.2 <BR>\n" );
document.write( "1) What is the probability that at  the output a 1 is observed .<BR>\n" );
document.write( "2) What is the probability that a 1 was the output of the source if the output of the channel a 1 is observed.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330920 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=330920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:1 A card is drawn from a deck of 52 cards,then replaced and a second card is drawn<BR>\n" );
document.write( "1)What is the probability of drawing same card on the 2nd draw?:: (1/52)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "2)What is the probability of drawing a 3 of hearts and then a 4 of spades?<BR>\n" );
document.write( ":: (1/52)^2<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "3)Calculate above mentioned probabilities if first card is not replaced?<BR>\n" );
document.write( ":: 0 and (1/52)(1/51)<BR>\n" );
document.write( "===================== <BR>\n" );
document.write( "Q:2 An information source produces 0's and 1's with probabilities of 0.3 and 0.7 respectively.<BR>\n" );
document.write( "The output of the source is transmitted via channel that has a probability of error(turning 1 into 0 and 0 into 1 ) equal to 0.2 <BR>\n" );
document.write( "1) What is the probability that at the output a 1 is observed.::0.7<BR>\n" );
document.write( "------<BR>\n" );
document.write( "2) What is the probability that a 1 was the output of the source if the output of the channel a 1 is observed.:: P(1 | 1 transmitted) = 0.8<BR>\n" );
document.write( "==========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );