To determine which statement about the simulation is not true, let's first analyze the results and calculations based on the provided data:
1. Simulation Results:
The simulation results are:
[tex]\[
\begin{array}{|l|l|l|l|l|}
\hline
HTH & HHH & TTT & HTT & HHT \\
\hline
TTT & HTT & HTT & HTT & HHH \\
\hline
HHT & HTT & TTT & TTT & HTH \\
\hline
\end{array}
\][/tex]
2. Count the number of times they win all three games:
Winning all three games is represented by "HHH".
We observe "HHH" in the simulation results, and it appears twice.
3. Count the total number of simulations:
We have a total of 15 simulation results.
4. Probability of winning all three games based on the simulation:
The number of simulations where the team wins all three games ("HHH") is [tex]\(2\)[/tex].
The total number of simulations is [tex]\(15\)[/tex].
Therefore, the probability of winning all three games based on the simulation is:
[tex]\[
\frac{2}{15} \approx 0.1333
\][/tex]
Given this information:
- Total occurrences of "HHH" (winning all three games) = 2
- Total number of simulations = 15
- Estimated probability of winning all three games = [tex]\(\frac{2}{15} \approx 0.1333\)[/tex]
Let's explore possible statements and identify which one is not true:
1. "The team won all three games in 2 out of 15 simulations."
This statement is true because we have observed "HHH" appearing 2 times out of 15.
2. "The total number of simulations conducted was 15."
This statement is true because there are a total of 15 simulation results.
3. "The probability of winning all three games, based on the simulation, is approximately 0.1333."
This statement is true because [tex]\(\frac{2}{15} \approx 0.1333\)[/tex].
4. "The team won all three games in 1 out of 15 simulations."
This statement is not true because the team actually won all three games in 2 out of 15 simulations.
Therefore, the statement that is not true is:
"The team won all three games in 1 out of 15 simulations."
