To determine the values of the variables in the binomial probability formula for the given statement, we need to identify:
1. The number of trials ([tex]\( n \)[/tex])
2. The probability of success on a single trial ([tex]\( p \)[/tex])
3. The number of successes we are interested in ([tex]\( k \)[/tex])
Let's break down the problem:
### Statement:
What is the probability of getting exactly 5 "heads" in 10 coin flips?
### Steps to identify [tex]\( n \)[/tex], [tex]\( p \)[/tex], and [tex]\( k \)[/tex]:
1. Number of trials ([tex]\( n \)[/tex]):
- We are flipping the coin 10 times.
- Thus, [tex]\( n = 10 \)[/tex].
2. Probability of success on a single trial ([tex]\( p \)[/tex]):
- Since the coin is fair, the probability of getting heads in one flip is 0.5 (or 50%).
- Thus, [tex]\( p = 0.5 \)[/tex].
3. Number of successes ([tex]\( k \)[/tex]):
- We are looking for the probability of getting exactly 5 heads.
- Thus, [tex]\( k = 5 \)[/tex].
### Summary:
[tex]\[
\begin{array}{l}
n = 10 \\
p = 0.5 \\
k = 5
\end{array}
\][/tex]
So, the values of the variables in the binomial probability formula for this problem are:
[tex]\[
\boxed{10}, \boxed{0.5}, \boxed{5}
\][/tex]
