document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932961>Question 932961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A die has faces that are numbered: 1, 1, 2, 2, 3, 6<BR>\n" );
document.write( "(i) A game consists of throwing the die two times.<BR>\n" );
document.write( "1. Draw a table to list the outcomes when the die is rolled twice the<BR>\n" );
document.write( "two scores added to give a total score.<BR>\n" );
document.write( "2. Calculate the probability that the total score on the two dice is:<BR>\n" );
document.write( "I. 7,<BR>\n" );
document.write( "II. greater than 5,<BR>\n" );
document.write( "III. an even number,<BR>\n" );
document.write( " IV. less than 4,<BR>\n" );
document.write( " V. a multiple of 3.<BR>\n" );
document.write( "(ii) Paul rolls a die 300 times. Using a Binomial model,<BR>\n" );
document.write( "1. determine how many sixes would you expect him to obtain.<BR>\n" );
document.write( "2. find the probability that he obtained 55 sixes.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566484 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> __1_1_2_2_3_6<BR>\n" );
document.write( "1|_2_2_3_3_4_7<BR>\n" );
document.write( "1|_2_2_3_3_4_7<BR>\n" );
document.write( "2|_3_3_4_4_5_8<BR>\n" );
document.write( "2|_3_3_4_4_5_8<BR>\n" );
document.write( "3|_4_4_5_5_6_9<BR>\n" );
document.write( "6|_7_7_8_8_9_12\r<BR>\n" );
document.write( "\n" );
document.write( ".....count them<BR>\n" );
document.write( "P(sum = 7) = 4/36 = 1/9<BR>\n" );
document.write( "P(sum > 5) = 12/36 = 1/3<BR>\n" );
document.write( "P(sum < 4)<BR>\n" );
document.write( "P(sum = a multiple of 3)<BR>\n" );
document.write( "........<BR>\n" );
document.write( "Paul rolls a die 300 times.<BR>\n" );
document.write( "p(6) = 1/6<BR>\n" );
document.write( "Exp 6s = (1/6)300 = 50<BR>\n" );
document.write( "P(x = 55) = binompdf(300, 1/6, 55) = .0444 0r 4.44%<BR>\n" );
document.write( " Using a TI calculator 0r similarly a Casio fx-115 ES plus </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );