The probability that a randomly selected order has no children or ordered dessert is 0.425, rounded to the nearest hundredth.
Using the following formula:
P(No children or dessert) = P(No children) + P(Ordered dessert) - P(No children and ordered dessert)
Now, substitute these values into the formula:
P(No children or dessert) =

Calculate each term:
P (no children or dessert) = 0.275 + 0.25 - 0.1
P(No children or dessert) = 0.425
So, the probability that a randomly selected order has no children or ordered dessert is 0.425, rounded to the nearest hundredth.