sam flips this coin two times. which tree diagram represents the sample space of this compound event?
sam 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 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 heads (H) or tails (T). If the first flip is tails (T), the second flip can be heads (H) or tails (T). The sample space for two coin flips is {HH, HT, TH, TT}. The correct tree - diagram should have branches starting with H and T for the first flip, and from each of those branches, further branches for H and T for the second flip.
Answer:
The tree - diagram with branches starting with H and T for the first flip, and from the H branch, further branches for H and T, and from the T branch, further branches for H and T (the second tree - diagram in the top - right of the image).