# SOLUTION: I need your help with my homework. 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 th

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: I need your help with my homework. 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 th      Log On

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 Click here to see ALL problems on Probability-and-statistics Question 247653: I need your help with my homework. 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: a)The same number turns up both times? b)The sum of the numbers turning up to 5? Thank very much.Answer by oberobic(2304)   (Show Source): 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. . Each spin is independent, which means it does not depend on others. . What the possibilities for two spins? 1 & 1 1 & 2 1 & 3 2 & 1 2 & 2 2 & 3 3 & 1 3 & 2 3 & 3 . a) The probability that the same number turns up twice in a row. 3/9 = 1/3 b ) The sum of the numbers totals 5. How many total 5? 2 So the probability is 2/9.