Suppose two dice are tossed and the numbers on the upper faces are observed. let s denote the set of all possible pairs that can
be observed. [these pairs can be listed, for example, by letting (2, 3) denote that a 2 was observed on the first die and a 3 on the second.]
1 answer:
Suppose two dice are tossed and the numbers on the upper faces are observed. let s denote the set of all possible pairs that can be observed.
Answer: If two dice are tossed, there are
possible outcomes.The possible pairs that can be observed are given in a set denoted by s below:
![\left[\begin{array}{cccccc}(1,1)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6)\\(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)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D%281%2C1%29%26%281%2C2%29%26%281%2C3%29%26%281%2C4%29%26%281%2C5%29%26%281%2C6%29%5C%5C%282%2C1%29%26%282%2C2%29%26%282%2C3%29%26%282%2C4%29%26%282%2C5%29%26%282%2C6%29%5C%5C%283%2C1%29%26%283%2C2%29%26%283%2C3%29%26%283%2C4%29%26%283%2C5%29%26%283%2C6%29%5C%5C%284%2C1%29%26%284%2C2%29%26%284%2C3%29%26%284%2C4%29%26%284%2C5%29%26%284%2C6%29%5C%5C%285%2C1%29%26%285%2C2%29%26%285%2C3%29%26%285%2C4%29%26%285%2C5%29%26%285%2C6%29%5C%5C%286%2C1%29%26%286%2C2%29%26%286%2C3%29%26%286%2C4%29%26%286%2C5%29%26%286%2C6%29%5Cend%7Barray%7D%5Cright%5D)
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Step-by-step explanation:
2y + 2x = 6
2y - x = 12
Subtract
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2(-2) + 2y = 6
-4 + 2y = 6
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Step-by-step explanation:
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