Join IDNLearn.com today and start getting the answers you've been searching for. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.

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

Here are the results of a simulation using a random number generator:
- Let [tex]1, 2, 3 = 6[/tex]th grader
- Let [tex]4, 5, 6 = 7[/tex]th grader
- Let [tex]7, 8, 9, 0 = 8[/tex]th grader

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

Which of the 10 groups show at least one 6th grader?

A. 1, 7
B. 7, 8, 10
C. 1, 2, 3, 4, 5, 6, 9
D. 1, 2, 5, 7, 8, 10


Sagot :

To determine which groups contain at least one 6th grader, we need to identify groups that have at least one of the digits 1, 2, or 3.

Here is a step-by-step breakdown of each group:

1. Group 1: 602
- Contains the digit 2 (6th grader).
- Group 1 has a 6th grader.

2. Group 2: 433
- Contains the digit 3 (6th grader).
- Group 2 has a 6th grader.

3. Group 3: 791
- Contains the digit 1 (6th grader).
- Group 3 has a 6th grader.

4. Group 4: 398
- Contains the digit 3 (6th grader).
- Group 4 has a 6th grader.

5. Group 5: 041
- Contains the digit 1 (6th grader).
- Group 5 has a 6th grader.

6. Group 6: 209
- Contains the digit 2 (6th grader).
- Group 6 has a 6th grader.

7. Group 7: 467
- Does not contain the digits 1, 2, or 3 (no 6th graders).
- Group 7 does not have a 6th grader.

8. Group 8: 570
- Does not contain the digits 1, 2, or 3 (no 6th graders).
- Group 8 does not have a 6th grader.

9. Group 9: 221
- Contains the digits 2 and 1 (6th graders).
- Group 9 has a 6th grader.

10. Group 10: 407
- Does not contain the digits 1, 2, or 3 (no 6th graders).
- Group 10 does not have a 6th grader.

Based on this analysis, the groups that contain at least one 6th grader are:
- Group 1
- Group 2
- Group 3
- Group 4
- Group 5
- Group 6
- Group 9

Therefore, the correct answer is:

C. 1, 2, 3, 4, 5, 6, 9