Chase and Emily are buying stools for their patio. They are deciding between 333 heights (table height, bar height, and XL height) and 333 colors (brown, white, and black). They each created a display - QAmmunity.org

Chase and Emily are buying stools for their patio. They are deciding between 333 heights (table height, bar height, and XL height) and 333 colors (brown, white, and black). They each created a display

asked Dec 14, 2021 135k views

2 Answers

Answer:

The sample space is:

(T,N): table height and brown

(T, W): table height and white

(T, K) : table height and black

(B, N): bar height and brown

(B, W): bar height and white

(B, K): bar height and black

(X, N): XL height and brown

(X, W): XL height and white

(W, K): XL height and black

Step-by-step explanation:

The sample space is the set of all the possible outputs, i.e. the possible different combinations that can be choosen.

Use the letters T, B, and X to represent, respectively, table height, bar height, and XL height,

Use letters N, W, and K to represent, respectively, the colors brown, white and black.

Each combination consists of a height (T, B or X) and a color (N, W, K); thus, your sample space shall have 3 × 3 different combinations. These are:

(T,N): table height and brown

(T, W): table height and white

(T, K) : table height and black

(B, N): bar height and brown

(B, W): bar height and white

(B, K): bar height and black

(X, N): XL height and brown

(X, W): XL height and white

(W, K): XL height and black

Srinivas Valekar answered Dec 18, 2021

by Srinivas Valekar

3.6k points

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