The given expression can be rewritten as follows:

\[
P(X \leq 9) = 1 - P(X = 10)
\]

This is based on the probability rule that the total probability for all possible outcomes equals 1. Therefore, the probability of the event \(X \leq 9\) (i.e., the event that the random variable \(X\) takes a value less than or equal to 9) is complementary to the probability of \(X = 10\).

In other words, we are saying that the probability of \(X \leq 9\) is the total probability (1) minus the probability of \(X\) being exactly 10.

### Would you like further clarification or details on this?

Here are five related questions that might interest you:
1. How do you calculate the probability of a random variable taking a specific value?
2. What is the complement rule in probability?
3. How do you calculate probabilities for continuous random variables?
4. Can you explain how this relates to cumulative distribution functions (CDFs)?
5. How does this apply to a binomial or normal distribution?

**Tip:** In probability, always check if an event complements another. Often, finding the complement makes calculations easier!

Understand how to calculate the probability of P(X ≤ 9) using the complement rule in probability theory. This involves key concepts such as discrete random variables and the total probability theorem. Suitable for students in Grades 9-12.

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