Question

You randomly choose a flower and ornament for display case. Find the sample space .How many displays are possible?

Answer 1

Answer:

• (a)See sample space below

,

• (b)6 possible displays

Explanation:

There are three types of flowers:

• Daffodils

,

• Hyacinth

,

• Tulip

There are two types of ornaments:

• Figurine

,

• Trophy

The number of ways in which you can choose a flower and an ornament is:

$3\times2=6\text{ ways}$

Therefore, the sample space is:

$\begin{gathered} \text{Daffodils,Figurine} \\ \text{Daffodils,Trophy} \\ \text{Hyacinth,Figurine} \\ \text{Hyacinth,Trophy} \\ \text{Tulip,Figurine} \\ \text{Tulip,Trophy} \end{gathered}$

There are 6 possible displays.