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31 May, 08:46

Every day, two student council members are randomly chosen to read the morning announcements. Students cannot be chosen more than once to read the announcements. Jeremy designed a simulation for the selection of the students and gathered data to predict the probability that a seventh grade student will be chosen. In Jeremy's simulation, he rolls two number cubes in each of 40 trials. In each trial, a cube landing on 1 or 2 represents a student in grade 7 being selected, and a cube landing on 3, 4, 5, or 6 represents a student in grade 8.

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  1. 31 May, 12:28
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    Complete Question

    The table shows the number of grade 7 and grade 8 students on the student council at Jeremy's school.

    Number of Students

    Grade 7 - 17 Grade 8 - 34

    Answer:

    C - The number of outcomes representing each grade level does not change after the first student is chosen.

    Step-by-step explanation:

    The ratio of Grade 7 students to Grade 8 students is:

    17:34

    This written in reduced form is 1:2

    Therefore, initially, the six parts of the cube can be divided into the ratio 2:4 which Jeremy did.

    However, after the first selection of a student, the ratio of Grade 7:Grade 8 student changes since the same student cannot be chosen more than once.

    Therefore the cube rolls represent only the first student choice and may not be accurate for subsequent rolls.

    The correct option is C.
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