Question

which does not represent the sample space of choosing one marble from the bag shown?

Explanation:

Step1: Understand sample space

Sample space is the set of all possible outcomes.

Step2: Analyze each option

• The first option (vertical marbles) shows all individual marbles (outcomes).
• The second option (fan - like diagram) lists all individual marbles (outcomes).
• The third option (tree - like diagram) has incorrect branching (doesn't represent single - marble selection properly). For example, if we are just choosing one marble, a tree - like structure for a single - step event (choosing one marble) is misrepresented here as it might imply multiple steps which is not the case for choosing one marble.
• The fourth option (marbles in a bag) implies the collection of all marbles (outcomes).

Answer:

The option with the tree - like diagram (the one with incorrect branching for a single - marble selection event) does not represent the sample space of choosing one marble from the bag.