If two of the colors on the spinner are red and green and it is spun three times, what is the probability of spinning red, red, green in that order?

Respuesta :

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]