estelle picks one marble from a bag and flips this coin one time. the bag has 1 yellow marble, 1 blue…

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?

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?

Answer

Answer: The second tree - diagram (from the top - left, the one with Y, B, P branching into H and T for each)

Explanation:

Step1: Identify first - stage events

The first event is picking a marble. There are 3 marbles: yellow (Y), blue (B), and purple (P).

Step2: Identify second - stage events

The second event is flipping a coin. A coin has 2 outcomes: heads (H) and tails (T).

Step3: Analyze tree - diagrams

For each marble color (Y, B, P), there should be 2 branches for the coin - flip outcomes (H and T). The second tree - diagram correctly shows Y, B, P branching into H and T for each of them.