Step-by-step explanation:
a probability is always
desired cases / total possible cases.
there is the theoretical probability in such cases, where we simply assume that all sides of such a die (or solid) truly have the same probability.
and then we have experimental probability, where we use only the actual data we got in the experiments to calculate the probability of that particular die (with all its actual internal imperfections) to roll certain results.
so, in our experiments how many total cases do we have ?
200.
how many desired cases (a number greater than 10, that means 11 or 12 as result) do we have ?
well, the sum of all appearances of 11s and 12s :
16 + 18 = 34
that means our experimental probability to get a number greater than 10 is
34/200 = 17/100 = 0.17
FYI
while the theoretical probability with an ideal die is
total cases : 12 (1 .. 12)
desired cases : 2 (11, 12)
the probability is
2/12 = 1/6 = 0.166666666...
it is actually a tiny little bit lower than what we observed in the experiments.
