Answer: Our required probability is [tex]\dfrac{1}{36}[/tex]
Step-by-step explanation:
Since we have given that
Total number of outcomes in single die = 6
So, total number of outcomes if three different die = [tex]6^3=216[/tex]
Number of favourable outcome i.e. exactly roll the same number = (1,1,1), (2,2,2) (3,3,3) (4,4,4) (5,5,5), (6,6,6) = 6
So, Probability of getting exactly roll the same number is given by
[tex]\dfrac{\text{number of favourable outcome}}{\text{Number of total outcomes}}\\\\=\dfrac{6}{216}\\\\=\dfrac{1}{36}[/tex]
Hence, our required probability is [tex]\dfrac{1}{36}[/tex]
