You have provided the following values:

- \( n = 25 \)
- \( x = 7 \)
- \( n - x = 18 \)
- \( p = 35\% \) (or \( p = 0.35 \))
- \( q = 65\% \) (or \( q = 0.65 \))

This appears to be setting up a binomial probability or a similar problem. The binomial formula is:

\[
P(X = x) = \binom{n}{x} \cdot p^x \cdot q^{n-x}
\]

Where:
- \( P(X = x) \) is the probability of getting exactly \( x \) successes out of \( n \) trials,
- \( \binom{n}{x} \) is the binomial coefficient.

Would you like me to solve a specific probability or explore this further?

### Relative Questions:
1. Do you want to calculate the binomial probability with these values?
2. Should I compute the binomial coefficient \( \binom{25}{7} \)?
3. Are you interested in the cumulative probability \( P(X \leq x) \)?
4. Should I explain how the binomial distribution works in detail?
5. Are you dealing with a real-life scenario that these numbers represent?

### Tip:
In a binomial distribution, \( p \) represents the probability of success, and \( q \) represents the probability of failure, with \( p + q = 1 \).

Explore how to calculate the binomial probability for n=25, x=7 with success probability p=35% and failure probability q=65%. Learn key concepts in probability theory, the binomial distribution formula, and how to compute binomial coefficients. Ideal for Grades 10-12 students.

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