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# 12-1 - Consider the following problem A standard pair of...

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Unformatted text preview: Consider the following problem: A standard pair of six—sided dice is rolled. What is the probability of rolling a sum of 9? Use the classical probability formula. The experiment in this problem is rolling a stande pair of dice. Let E be the event "the number rolled is a 9". Using pairs of numbers to represent possible rolls for a pair of dice, we see that there are 4 ways to roll a 9, namely, ( 3, 6 ), ( 6, 3 ), ( 4, 5 ) and(5,4). Son(E)=4. The sample space for rolling a dice is as follows: ”(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)“ J (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) L _ (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) SmpleSpace‘ (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Therefore, there are 36 possible pairs ofnumbers. So n( S) = 36. ...
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