You flip a coin and draw a marble at random
from a bag containing two purple marbles and
one white marble. list the possible outcomes.

The possible outcomes of an experiment are sample space of the experiment.

The possible outcomes are: HP. HP, HW, TP, TP and TW

From the question, we have:

Represent the events as:

So, the possible outcomes are: HP. HP, HW, TP, TP and TW

Read more about sample space at:

link

6 possible outcomes

Step-by-step explanation:

Given:

Flip a coin

Draw a marble at random  from a bag containing two purple marbles and  one white marble

To Find:

The possible outcomes = ?

Solution:

By Flipping a coin, we have two outcomes, either head or tail

For each of these outcomes we will either tale any one of the balls from the  bag

So possible outcomes will be

Head - purple ball

head -purple ball

Head -white ball

Tail  - purple ball

Tail  -purple ball

Tail  -white ball

So there are 6 possible outcomes.