Question

A spinner and two cards are shown below.

A spinner with 3 equal sectors is shown in the figure. The colors Red, Yellow, and Orange are marked on it. The arrow points to Yellow. Two cards are shown on the right side. Their colors are Purple and Green.

Which table correctly identifies the sample space of spinning the spinner and then selecting a card?

Results of the spin
Card Color Orange Yellow Red
Purple Orange, Purple Yellow, Green Red, Green
Green Green, Green Yellow, Yellow Red, Red
Results of the spin
Card Color Orange Yellow Red
Purple Orange, Green Yellow, Yellow Red, Red
Green Green, Purple Yellow, Green Red, Green
Results of the spin
Card Color Orange Yellow Red
Purple Orange, Purple Yellow, Purple Red, Purple
Green Green, Green Yellow, Yellow Red, Red
Results of the spin
Card Color Orange Yellow Red
Purple Orange, Purple Yellow, Purple Red, Purple
Green Orange, Green Yellow, Green Red, Green

Answer 1

Purple Red, Purple Yellow, Purple Orange
Green Red, Green Yellow, Green Orange
I cant tell exactly from the formatting of the typing but the sample space would contain the above values. purple card with each spin possibility and green card with each spin possibility. 6 total possible outcomes. 

Answer 2

The sample space of an experiment is the list of possible outcomes of the experiment

The sample space is :

• Purple Red, Purple Yellow, Purple Orange
• Green Red, Green Yellow, Green Orange

The given parameters are:

• Spinner: Red, Yellow, Green
• Card: Purple, Green

The spinner section is 3, while the cards are 2.

So, the sample size (n) is:

$n = 3 \times 2$

$n = 6$

The list of the sample space is then represented as:

• Purple Red, Purple Yellow, Purple Orange
• Green Red, Green Yellow, Green Orange

Read more about sample space at:

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