document.write( "Question 247653: I need your help with my homework.\r
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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:
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document.write( "a)The same number turns up both times?
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document.write( "b)The sum of the numbers turning up to 5?\r
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document.write( "Thank very much. \n" );
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Algebra.Com's Answer #180590 by oberobic(2304)![]() ![]() ![]() 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. \n" ); document.write( ". \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 \n" ); document.write( ". \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. \n" ); document.write( " |