Answer: ![\dfrac{1}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B8%7D)
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 = ![2^3=8](https://tex.z-dn.net/?f=2%5E3%3D8)
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 :
![\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}\\\\=\dfrac{1}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BFavorable%20outcome%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B8%7D)
Therefore , the probability of spinning red, red, green in that order = ![\dfrac{1}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B8%7D)