Certainly! Let's determine the values of the variables in the binomial probability formula for the given problem: "What is the probability of getting exactly 5 'heads' in 10 coin flips?"
1. Number of trials (n): The problem states that there are 10 coin flips. Each coin flip is considered an individual trial.
[tex]\[
n = 10
\][/tex]
2. Probability of success (p): In this context, the "success" is defined as getting a "head" in a single coin flip. Since a fair coin is used, the probability of getting a head in a single flip is 0.5.
[tex]\[
p = 0.5
\][/tex]
3. Number of successes (k): The problem specifies that we want to find the probability of getting exactly 5 heads. Therefore, the number of successes is 5.
[tex]\[
k = 5
\][/tex]
Thus, the values of the variables in the binomial probability formula for this problem are:
[tex]\[
\begin{array}{l}
n = 10 \\
p = 0.5 \\
k = 5
\end{array}
\][/tex]
These values will be used if you need to calculate the binomial probability.
