Question 1071373
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This problem (or, better to say, the KMST's solution) is about the accurate definition of the space of events (outcomes).


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1.  If the experiment (and the question) is about the probability of having "5" on the second dice at multiple repetition 
    of rollings the two dices, then the answer is {{{1/6}}}, since the outcomes on different dices are independent events.


2.  If the experiment (and the question) is about the probability of having "5" on the second dice 
    <U>UNDER THE CONDITION THAT THE FIRST DICE SHOWS "5"</U>, then the answer is {{{1/11}}}, as KMST calculated; 
    but this time we have ANOTHER space of events/outcomes.


3.  Asking about the probability regarding a unique rolling (or a unique rolling of two dices) is nonsense.
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So, the answer depends on accurate formulation the problem.


Different formulations can lead to different answers, but it is not amazing, because the experiment's conditions are different in this case.