Title:
The required probability is
.
Explanation:
In the urn, there are total (7 + 8 + 9) = 24 balls.
We are taking 10 balls out of the urn with replacement.
In each tern, we have overall 10 choices to chose 1 ball.
If we want to get a green, there are 7 choices each time.
Similarly, 8 choices each time for getting a red and 9 choices each time for getting a yellow ball.
The probability of getting green 2 times, red 3 times, and yellow 5 times is
.