Answer: The probability of not taking a yellow ball can be found by using the formula:
Probability of event A = (Number of favorable outcomes) / (Total number of outcomes)
In this case, the event of not taking a yellow ball is the favorable outcome, and the total number of outcomes is the total number of balls in the bag, which is 10 yellow, 5 orange, and 5 green balls. So, the total number of outcomes is 20.
The number of balls that are not yellow is 5 orange + 5 green = 10.
So, the probability of not taking a yellow ball is
Probability of not taking a yellow ball = (Number of non-yellow balls) / (Total number of balls) = 10/20 = 1/2
So the answer is 1/2.
Explanation: