Question 1071373
One obvious issue is that the  “five” in the question does not spell "five",
but that is unicode characters, not math.
 
There are {{{36}}} ordered pairs of numbers that could represent the outcome.
That would be easy to visualize if you use my pair of dice (one red, and one green).
There are {{{11}}} of those ordered pairs where the top face of one or both die shows a 5,
and only {{{1}}} of those ordered pairs have both top faces showing a 5.
That is {{{1/11}}} .
So, if the top face of one of the dice shows a “five”,
the probability that the other die is also “five” is {{{1/11}}} .
If the professor had used my set of dice, and the green die was a "five",
then the probability that the red die was also a "five" would be {{{1/6}}} .
 
Of course, the “five” the student reports could be
a lie,
a 5 of spades playing card,
a misread number of dots on the top face of one of the dice,
the number of dots in a visible face of one of the die that is not the top face, etc.