Question

estelle picks one marble from a bag and flips this coin one time. the bag has 1 yellow marble, 1 blue marble, and 1 purple marble. which tree - diagram represents the sample space of this compound event?

Explanation:

Step1: Analyze the first - stage event

Estelle first picks a marble. There are 3 marbles (yellow - Y, blue - B, purple - P), so there are 3 branches at the first level of the tree diagram for the marble - picking event.

Step2: Analyze the second - stage event

After picking a marble, she flips a coin. A coin flip has 2 possible outcomes: heads (H) and tails (T). So for each of the 3 marble - picking branches, there should be 2 coin - flip branches.

Answer:

The third tree diagram (where the first level has branches labeled Y, B, P and for each of those, the second level has branches labeled H and T) represents the sample space of this compound event.