Question

Jos sells two types of notebooks A and B. Each notebook is offered in red, blue, or yellow colors. If a notebook is selected at random, how many different possibilities are in the sample space?

Answer 1

Jos sells two types of notebooks $\text{A}$ and $\text{B}$. Each type of notebook is offered in red, blue and yellow colors.

$\text{Need to find:}$ Different possibilities from which one can select a notebook with a specific color

This can be found through sample space diagram.

In the very first column of sample space diagram, we can include notebook types, and in the first row, all color possibilities (red, blue, yellow) of the notebook.

$\text{Sample space diagram:}$

	Red	Blue	Yellow
A	ARed	ABlue	AYellow
B	BRed	BBlue	BYellow

For all possible options of purchase, the sample space diagram has $2$ rows and $3$ columns,
Therefore, there are $2\times 3=6$ possibilities in sample space.