gabe flips this coin two times. which tree diagram represents the sample space of this compound event?
gabe flips this coin two times. which tree diagram represents the sample space of this compound event?
Answer
Explanation:
Step1: Analyze coin - flip outcomes
When flipping a coin once, there are 2 outcomes: heads (H) or tails (T).
Step2: Consider two - coin flips
For the first coin - flip, if it is heads (H), the second coin - flip can be either heads (H) or tails (T). Similarly, if the first coin - flip is tails (T), the second coin - flip can be either heads (H) or tails (T).
Answer:
The second tree diagram (the one with H branching to H and T, and T branching to H and T) represents the sample space of flipping a coin two times. The sample space for two coin - flips is {HH, HT, TH, TT}, which is correctly shown in the second tree diagram.