document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411034>Question 411034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The 2009 standard Texas license plate design is of the form BB1B111 (2 letters followed by 1 number; then 1 letter followed by 3 numbers). Texas plates do NOT use vowels. You decide to select a plate at random under these conditions. \r<BR>\n" );
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document.write( "c) What is the probability that your plate contains your favorite consonant? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288922 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=288922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 5 traditional vowels in English.<BR>\n" );
document.write( "26-5=21 consonants<BR>\n" );
document.write( "There are 3 consonants on each plate.<BR>\n" );
document.write( "The consonants are used with replacement so this is a binomial expansion problem.<BR>\n" );
document.write( "Probability of you consonant in the first letter is 1/21<BR>\n" );
document.write( "(20/21)^3=.8638 probability that none of the letters contain your favorite.<BR>\n" );
document.write( "1-.8638=.1362 the probability that your plate contains your favorite consonant. </SPAN>\n" );
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