Question 1137450
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The space of events is the set of all pairs of integer numbers (i,j), where i and j are between 1 and 6, inclusively.


So, the set of events has 6*6 = 36 elements, all with the same probability of {{{1/36}}}.


Of them, the favorable are those, where i and j are different: i =/= j.


The number of those with  i = j  is 6.


So, the favorable set consists of 36 - 6 = 30 elements.


Therefore, the probability under the question is  P = {{{30/36}}} = {{{5/6}}}.
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Solved.