Math Snap

STEP 1

1. The expression given is a binomial probability expression.
2. The binomial probability formula is given by:
$$ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
\] where $n$ is the number of trials, $k$ is the number of successes, $p$ is the probability of success, and $1-p$ is the probability of failure.

STEP 2

1. Identify the components of the binomial expression.
2. Match the components to the correct option.

STEP 3

Identify the components from the expression $\binom{12}{7}(0.1)^{7}(0.9)^{5}$:
- Number of trials $n = 12$
- Number of successes $k = 7$
- Probability of success $p = 0.1$
- Probability of failure $1-p = 0.9$

Match the identified components to the correct option:
- Number of trials $n = 12$
- Number of successes $k = 7$
- Probability of success $p = 0.1$
- Probability of failure $1-p = 0.9$
The correct option is:
$$12, 7, 0.1, 0.9$$ The correct answer is:
$$\boxed{12, 7, 0.1, 0.9}$$