document.write( "Question 247653: I need your help with my homework.\r
\n" ); document.write( "\n" ); document.write( "A spinning device have 3 numbers, 1, 2, and 3, each as likely to turn up as the other. If the device is spun twice, what is the probability that:
\n" ); document.write( "a)The same number turns up both times?
\n" ); document.write( "b)The sum of the numbers turning up to 5?\r
\n" ); document.write( "\n" ); document.write( "Thank very much.
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Algebra.Com's Answer #180590 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
Assuming the device is fair, each of the 3 numbers has the same probability as the others: 1/3.
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\n" ); document.write( "Each spin is independent, which means it does not depend on others.
\n" ); document.write( ".
\n" ); document.write( "What the possibilities for two spins?
\n" ); document.write( "1 & 1
\n" ); document.write( "1 & 2
\n" ); document.write( "1 & 3
\n" ); document.write( "2 & 1
\n" ); document.write( "2 & 2
\n" ); document.write( "2 & 3
\n" ); document.write( "3 & 1
\n" ); document.write( "3 & 2
\n" ); document.write( "3 & 3
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\n" ); document.write( "a) The probability that the same number turns up twice in a row.
\n" ); document.write( "3/9 = 1/3\r
\n" ); document.write( "\n" ); document.write( "b ) The sum of the numbers totals 5.
\n" ); document.write( "How many total 5?
\n" ); document.write( "2
\n" ); document.write( "So the probability is 2/9.
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