Consider two spinners that have the colors Grey, Orange, Blue, and Yellow. What letter combination would go in the box highlighted in yellow below?

[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline
& \multicolumn{4}{|c|}{Event 2, Spinner B} \\
\hline
& G & O & B & Y \\
\hline
\multirow{3}{*}{\begin{tabular}{l} Event 1, \\ Spinner A \end{tabular}} & YG & YO & YB & YY \\
\hline
& BG & BO & \cellcolor{yellow} & BY \\
\hline
& OG & OO & OB & OY \\
\hline
& GG & GO & GB & GY \\
\hline
\end{tabular}
\][/tex]

A. GB
B. BB
C. BG
D. BY



Answer :

To answer this question about the letter combination that goes in the highlighted box, let's consider the layout of the area model and understand how the combinations are formed.

The table essentially represents all possible outcomes when spinning each of the two spinners. Each spinner can land on one of the four colors: Grey (G), Orange (O), Blue (B), and Yellow (Y).

Here is the explanation for filling in the box highlighted in yellow in the provided table:

Event 1, Spinner A (vertical axis)
- Y (Yellow)
- B (Blue)
- O (Orange)
- G (Grey)

Event 2, Spinner B (horizontal axis)
- G (Grey)
- O (Orange)
- B (Blue)
- Y (Yellow)

The cell highlighted in yellow corresponds to the result when Spinner A lands on Blue (B) and Spinner B lands on Yellow (Y).

Therefore:
- For Spinner A: Blue (B)
- For Spinner B: Yellow (Y)

The combination for this specific outcome is formed by concatenating the letters for Spinner A and Spinner B.

So, the letter combination in the highlighted box where Spinner A lands on Blue (B) and Spinner B lands on Yellow (Y) is:
BY

Hence, the correct answer is: BY.