\begin{tabular}{|c|c|}
\hline
2 & 0 \\
\hline
3 & 9 \\
\hline
4 & 5 \\
\hline
5 & 17 \\
\hline
6 & 6 \\
\hline
\end{tabular}

Which of the following should Cody expect if this experiment were repeated a very large number of times?

A. He would never roll a 2.
B. He would roll a 2 more than any other number.
C. He would continue to roll a 5 more often than any other number.
D. He would roll a 5 about the same number of times as any other number.



Answer :

To solve the problem, we need to analyze the given data in the table, which indicates the frequency of each number rolled.

The table provides the following data:
- Number 2: rolled 0 times
- Number 3: rolled 9 times
- Number 4: rolled 5 times
- Number 5: rolled 17 times
- Number 6: rolled 6 times

Now, let's review the statements and determine which one is correct based on the data:

1. He would never roll a 2.
- According to the data, number 2 was rolled 0 times. This could lead one to consider the possibility that Cody would never roll a 2 if the experiment were repeated. However, it's more reasonable to conclude that rolling a 2 is less likely.

2. He would roll a 2 more than any other number.
- This statement is incorrect because the data shows that the number 2 was rolled 0 times, which is the least frequent occurrence in the given data.

3. He would continue to roll a 5 more often than any other number.
- According to the data, the number 5 was rolled 17 times, which is the highest frequency among the numbers. Therefore, it is reasonable to expect that in a larger sample, Cody would continue to roll the number 5 more often than any other number.

4. He would roll a 5 about the same number of times as any other number.
- This statement is incorrect because the number 5 was rolled significantly more frequently (17 times) than any other number.

Considering the above analysis, the correct conclusion is:
He would continue to roll a 5 more often than any other number.