natalie flips this coin two times. which tree - diagram represents the sample space of this compound event?
natalie flips this coin two times. which tree - diagram represents the sample space of this compound event?
Answer
Explanation:
Step1: Analyze first - coin flip
The first coin - flip has 2 possible outcomes: heads (H) or tails (T).
Step2: Analyze second - coin flip for each first - flip outcome
If the first flip is heads (H), the second flip can be either heads (H) or tails (T). Similarly, if the first flip is tails (T), the second flip can be either heads (H) or tails (T). The correct sample - space tree diagram should start with two branches for the first flip (H and T), and then for each of those branches, there should be two more branches (H and T) for the second flip.
Answer:
The tree diagram with the first level having two branches labeled H and T, and for the H - branch, the second level having two branches labeled H and T, and for the T - branch, the second level having two branches labeled H and T. (The second tree diagram in the image from top - left to bottom - right order)