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Of the students at Creekview Middle School, 30% are in 6th grade, 30% are in 7th grade, and 40% are in 8th grade. What is the estimated probability that at least one of the next three students entering the school will be an 8th grader?

Here are the results of a simulation using a random number generator:

- Let 1, 2, 3 = 6th grader
- Let 4, 5, 6 = 7th grader
- Let 7, 8, 9, 0 = 8th grader

\begin{tabular}{|c|l|l|l|l|l|l|l|l|l|l|}
\hline
Group number & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
\hline
\begin{tabular}{c}
Random \\
digits
\end{tabular}
& 602 & 433 & 791 & 398 & 041 & 209 & 467 & 570 & 221 & 407 \\
\hline
\end{tabular}

Which of the 10 groups show at least one 8th grader?



Answer :

GinnyAnswer
To determine which groups of students contain at least one 8th grader, we need to analyze the random digits provided for each group. An 8th grader is represented by the digits 7, 8, 9, or 0.

Here are the given groups with their corresponding random digits:

1. 602
2. 433
3. 791
4. 398
5. 041
6. 209
7. 467
8. 570
9. 221
10. 407

Now, we'll check each group to see if it contains at least one of the digits 7, 8, 9, or 0:

Group 1 (Digits: 602):
- Contains 0
- So, this group has at least one 8th grader.

Group 2 (Digits: 433):
- No digit is 7, 8, 9, or 0.
- So, this group does not have an 8th grader.

Group 3 (Digits: 791):
- Contains 7, 9
- So, this group has at least one 8th grader.

Group 4 (Digits: 398):
- Contains 9, 8
- So, this group has at least one 8th grader.

Group 5 (Digits: 041):
- Contains 0
- So, this group has at least one 8th grader.

Group 6 (Digits: 209):
- Contains 2, 0, 9
- So, this group has at least one 8th grader.

Group 7 (Digits: 467):
- Contains 4_, 6, 7
- So, this group has at least one 8th grader.

Group 8 (Digits: 570):
- Contains 5, 7, 0
- So, this group has at least one 8th grader.

Group 9 (Digits: 221):
- No digit is 7, 8, 9, or 0.
- So, this group does not have an 8th grader.

Group 10 (Digits: 407):
- Contains 4, 0, 7
- So, this group has at least one 8th grader.

From the analysis, the groups that show at least one 8th grader are:
- Group 1
- Group 3
- Group 4
- Group 5
- Group 6
- Group 7
- Group 8
- Group 10

Therefore, the groups that show at least one 8th grader are: 1, 3, 4, 5, 6, 7, 8, and 10.

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