What are the solutions to the following probability questions: 8. If the probability that a boy will be late for school is x, what is the probability he will not be late? 9. If the probability that Ka

The probability of an event happening plus the probability of the event not happening is equal to 1.
Let $P(\text{late})$ be the probability that a boy will be late for school, and $P(\text{not late})$ be the probability that he will not be late for school.
We are given $P(\text{late}) = x$.

The probability that he will not be late for school is $\boxed{\mathbf{1 - x}}$.

9.

The probability of Kasukulu waking up late is 0.3.
We need to find the probability that she will wake up early. Waking up early is the complement of waking up late in this context.
Let $P(\text{late})$ be the probability of waking up late, and $P(\text{early})$ be the probability of waking up early.
We are given $P(\text{late}) = 0.3$.

The probability that she will wake up early is $\boxed{\mathbf{0.7}}$.

10.

The probability of getting a black button is $\frac{2}{9}$.
We need to find the probability of getting a button which is not black. "Not black" is the complement of "black".
Let $P(\text{black})$ be the probability of getting a black button, and $P(\text{not black})$ be the probability of getting a button that is not black.
We are given $P(\text{black}) = \frac{2}{9}$.

The probability of getting a button which is not black is $\boxed{\mathbf{\frac{7}{9}}}$.