The theoretical probability of rolling a sum of 8 on one roll of two standard number cubes is 1/9
Theoretical probability is calculating the probability of it happening, not actually going out and experimenting.
Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.
According to the given question.
Two cubes are rolled once.
⇒Total number of possible outcomes = [tex]6^{2}[/tex]= 36
Total number of favorable outcomes i.e. getting a number on both the sides whose sum is eight = {(2,6) (5,3) (3,5) (6,2)}
⇒number of favorable outcomes = 4
Therefore,
The theoretical probability of rolling a sum of 8 on one of two standard cubes = [tex]\frac{4}{36} =\frac{1}{9}[/tex]
Hence, the theoretical probability of rolling a sum of 8 on one roll of two standard number cubes is 1/9.
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