Its correct and great job btw
Answer:

Step-by-step explanation:
We can rewrite the fraction as

In order to rationalize the denominator of such a complex fraction, we must multiply the fraction by the conjugate of the denominator. In this case, the conjugate of the denominator would be
. Multiplying both sides of the fraction by the conjugate of the denominator would result in the fraction:

Since all sectors have the same area, the spinner is equaly likely to land on each of them. There are:
- 3 yellow sectors
- 3 red sectors
- 4 green sectors
- 1 blue sector
Obviously, this implies that there are 11 sectors in total.
So, the spinner will land on a certain color with probability

Use this formula to deduce the probability of green.
Finally, you can multiply the probability of red by 11 to get the expected number of reds in 11 spins.