Question

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?

Answer 1

Answer:
`(1)/(8)`

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`

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 :

`\frac{\text{Favorable outcome}}{\text{Total outcomes}}\\\\=(1)/(8)`

Therefore , the probability of spinning red, red, green in that order =
`(1)/(8)`