document.write( "Question 1071373: In a class on probability, a statistics professor rolls two balanced dice. Both fall to the ﬂoor and roll under his desk. A student in the ﬁrst row informs the professor that he can see both dice. He reports that at least one of them shows a “ﬁve”. What is the probability that the other die is also “ﬁve”? (Beware the obvious.)
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Algebra.Com's Answer #686344 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "This problem (or, better to say, the KMST's solution) is about the accurate definition of the space of events (outcomes).\r
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document.write( "1.  If the experiment (and the question) is about the probability of having \"5\" on the second dice at multiple repetition \r\n" );
document.write( "    of rollings the two dices, then the answer is , since the outcomes on different dices are independent events.\r\n" );
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document.write( "2.  If the experiment (and the question) is about the probability of having \"5\" on the second dice \r\n" );
document.write( "    UNDER THE CONDITION THAT THE FIRST DICE SHOWS \"5\", then the answer is , as KMST calculated; \r\n" );
document.write( "    but this time we have ANOTHER space of events/outcomes.\r\n" );
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document.write( "3.  Asking about the probability regarding a unique rolling (or a unique rolling of two dices) is nonsense.\r\n" );
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\n" ); document.write( "\n" ); document.write( "So, the answer depends on accurate formulation the problem.\r
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\n" ); document.write( "\n" ); document.write( "Different formulations can lead to different answers, but it is not amazing, because the experiment's conditions are different in this case.\r
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