document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202962>Question 1202962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using  a five-sided spinner (red, yellow, green, teal, blue) you construct or a digital five-sided spinner, complete the following steps; write the probabilities as a fraction and a percentage.\r<BR>\n" );
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document.write( "1. What is the theoretical probability of spinning yellow?<BR>\n" );
document.write( "2. What is the theoretical probability of spinning red or yellow?<BR>\n" );
document.write( "3. Spin the spinner 20 times, create a table to display the results.  What is the experimental probability of spinning yellow?<BR>\n" );
document.write( "4. Perform another 20 spins, and record them. What is the new experimental probability of spinning yellow out of all 40 spins?<BR>\n" );
document.write( "5. What is the experimental probability of spinning red or yellow out of all 40 spins?  </SPAN>\n" );
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document.write( "Problem 1\r<BR>\n" );
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document.write( "Answer: <font color=red>1/5</font> = <font color=red>20%</font>\r<BR>\n" );
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document.write( "Reason: There is 1 section we want (yellow) out of 5 sections total. <BR>\n" );
document.write( "This assumes each section is the same area, which leads to each section having equal chance of being landed on. \r<BR>\n" );
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document.write( "Problem 2\r<BR>\n" );
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document.write( "Answer: <font color=red>2/5</font> = <font color=red>40%</font>\r<BR>\n" );
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document.write( "Reason: This time there are two sections we want (red and yellow) out of 5 total.\r<BR>\n" );
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document.write( "Problem 3 through 5\r<BR>\n" );
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document.write( "I'll let the student do this part. <BR>\n" );
document.write( "Create a physical spinner that you can hold, or go to any website that will provide a digital spinner. <BR>\n" );
document.write( "A random number generator will work as well.\r<BR>\n" );
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document.write( "The results of each trial will be different between students. This would mean the results of problems 3 and 4 will be different. \r<BR>\n" );
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document.write( "Experimental probability, aka empirical probability, is when we divide the number of observed cases over the total number of trials.\r<BR>\n" );
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document.write( "For example, if you see red come up 5 times out of 40 spins total, then the empirical probability of red would be 5/40 = 1/8 = 0.125 = 12.5%<BR>\n" );
document.write( "This is a hypothetical example and not the answer to questions 3 through 5. \r<BR>\n" );
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document.write( "As the name implies, theoretical probability is based on the theory of each space having equal area (and hence each space has equal chance of being landed on). <BR>\n" );
document.write( "In contrast, experimental probability requires the student to do trials/experiments to generate the probability distribution table.\r<BR>\n" );
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document.write( "Further Reading<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.statology.org/theoretical-probability/\">https://www.statology.org/theoretical-probability/</a><BR>\n" );
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