According to a survey by the beach lifeguards, there is a [tex]$25 \%$[/tex] chance that surfers will see a dolphin while surfing. Which simulation could you use to answer questions about whether a surfer will see a dolphin?

\begin{tabular}{|c|c|c|}
\hline
Device & Method & \begin{tabular}{r}
Record the number of times \\
this occurs in 100 trials:
\end{tabular} \\
\hline
Die & Rolling & Greater than 4 \\
\hline
\end{tabular}

\begin{tabular}{|l|l|l|}
\hline
Device & Method & \begin{tabular}{r}
Record the number of times \\
this occurs in 100 trials:
\end{tabular} \\
\hline
Coin & Flipping & Heads \\
\hline
\end{tabular}

\begin{tabular}{|c|c|c|}
\hline
Device & Method & \begin{tabular}{r}
Record the number of times \\
this occurs in 100 trials:
\end{tabular} \\
\hline
Bag of marbles & Picking and replacing & Red \\
\hline
\end{tabular}

\begin{tabular}{|l|l|l|}
\hline
Device & Method & \begin{tabular}{c}
Record the number of \\
times this occurs in 100 trials:
\end{tabular} \\
\hline
Spinner & Spinning & Lands on 7 or 8 \\
\hline
\end{tabular}



Answer :

To simulate whether a surfer will see a dolphin based on a 25% chance, we can use a simple probabilistic method. Let's break down the appropriate method step-by-step:

1. Device: We can use a tool that provides a clear binary outcome, such as a coin.

2. Method: Flipping a coin is a straightforward and easy-to-understand method. Each coin flip yields one of two outcomes: heads or tails.

3. Probability Matching: To match the 25% chance (which is [tex]\( \frac{1}{4} \)[/tex]), we can assign one of the two coin outcomes to represent seeing a dolphin. For simplicity, we can assign "heads" to represent a dolphin sighting.

4. Trials: Conducting a large number of trials helps us estimate the probability more accurately. We can aim for 100 trials.

5. Record Outcomes: We will record the number of times heads appears during these 100 coin flips to represent the number of dolphin sightings.

Summarizing the simulation approach:

- Device: Coin
- Method: Flipping
- Record Outcome: Heads

Thus, we simulate the given 25% chance of seeing a dolphin by flipping a coin 100 times and recording the number of heads that appear.

This concrete approach matches the probabilistic requirements and provides an effective way to simulate and answer questions about the likelihood of a surfer seeing a dolphin.