Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
Given : The number of colors on the spinner = 2
So the number of outcomes for spinning it once =2
By Fundamental principle of Counting , the number of outcomes for spinning it thrice = [tex]2^3=8[/tex]
i.e. Total number of outcomes = 8
Favorable outcome = spinning red, red, green in order
i.e. Favorable outcome =1
Now, the probability of spinning red, red, green in that order will be :
[tex]\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}\\\\=\dfrac{1}{8}[/tex]
Therefore , the probability of spinning red, red, green in that order = [tex]\dfrac{1}{8}[/tex]