jada flips this coin three times. which tree diagram represents the sample space of this compound event?
jada flips this coin three times. which tree diagram represents the sample space of this compound event?
Answer
Explanation:
Step1: Analyze coin - flip outcomes
A coin has 2 outcomes (heads - H or tails - T). When flipping a coin 3 times, for the first flip, there are 2 possibilities (H or T).
Step2: For each first - flip outcome
If the first flip is H, then for the second flip, there are 2 possibilities (H or T) again, and for each of those second - flip outcomes, there are 2 possibilities for the third flip. Similarly, if the first flip is T, the second and third flips also have 2 possibilities each.
Step3: Check tree - diagram structure
The correct tree - diagram should start with two branches for the first flip (H and T). From each of those branches, there should be two more branches for the second flip, and from each of those new branches, there should be two branches for the third flip.
Answer:
The second tree - diagram (the one where from the initial H and T branches, each subsequent level has two branches representing the next coin - flip outcomes) represents the sample space of this compound event.