Question

type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). the seventh - grade students at charleston middle school are choosing one girl and one boy for student council. their choices for girls are michaela (m), candice (c), and raven (r), and for boys, neil (n), barney (b), and ted (t). the sample space for the combined selection is represented in the table. complete the table and the sentence beneath it. if instead of three girls and three boys, there were four girls and four boys to choose from, the new sample size would be

Explanation:

Step1: Complete the table

For each girl, we pair her with each boy. For Michaela, we already have N - M and T - M, so the missing one is Barney - Michaela which is B - M. Similarly for Candice, the missing one is B - C and for Raven it is B - R.

Step2: Calculate new sample size

The formula for the number of elements in a sample space when choosing one from set A and one from set B is \(n(A)\times n(B)\). Here, \(n(A) = 4\) (number of girls) and \(n(B)=4\) (number of boys). So \(4\times4=16\).

Answer:

In the table, from top - to - bottom, the blanks are: B - M, B - C, B - R; 16