document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142724>Question 1142724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to calculate a probability problem. It reads: \"If someone spins the spinner twice, what is the probability it will land on an even number?\"\r<BR>\n" );
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document.write( "The spinner has the following numbers clockwise: 1,2,3,2,5,4,4. However, the space that includes the 1 is twice the size of the others and is 25% of the total area of the spinner. If I draw a dividing line in the larger space, I will then have 8 equal parts. Is this the correct procedure for solving the problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763444 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the probability that the spinner will land anywhere on the spinner board is considered to be equal.\r<BR>\n" );
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document.write( "since the number 1 space is 25% of the area of the board, then the other numbers, being equally spaced, represent 75% of the area of the board.\r<BR>\n" );
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document.write( "you have 6 other numbers.<BR>\n" );
document.write( "75% / 6 = 12.5\r<BR>\n" );
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document.write( "each of the other numbers takes up 12.5% of the area of the board.<BR>\n" );
document.write( "if you split the 1 into 2 spaces, then each one of the number 1's will also take up 12.5% of the board.\r<BR>\n" );
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document.write( "it sounds like your method will work.\r<BR>\n" );
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document.write( "the numbers on the board are then 1,1,2,3,2,5,4,4.\r<BR>\n" );
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document.write( "each of those numbers takes up 12.5% of the area of the board.\r<BR>\n" );
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document.write( "4 of the numbers are even and 4 of the numbers are odd.\r<BR>\n" );
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document.write( "the probability that the spinner will land on an even number is therefore 4 / 8 = 50%.\r<BR>\n" );
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document.write( "the probability that the spinner will land on an odd number is therefore also 4 / 8 = 50%.\r<BR>\n" );
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document.write( "on your first spin, the probability that it will land on an even number is .5.\r<BR>\n" );
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document.write( "on your second spin, the probability that it will land on an even number is also .5.\r<BR>\n" );
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document.write( "the probability that it will land on an even number both times is therefore .5 * .5 = .25.\r<BR>\n" );
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document.write( "there is another way to look at it.\r<BR>\n" );
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document.write( "the number 1 takes up 25% of the board space.<BR>\n" );
document.write( "the number 3 takes up 12.5% of the board space.<BR>\n" );
document.write( "the number 5 takes up 12.5% of the board space.\r<BR>\n" );
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document.write( "all the odd numbers take up 50% of the board.<BR>\n" );
document.write( "all the even numbers take up 50% of the board.<BR>\n" );
document.write( "same probabilities.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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