suzie flips this coin two times. which tree diagram represents the sample space of this compound event?

Answer

Explanation:

Step1: Understand coin - flip outcomes

A coin has two sides, heads (H) and tails (T). When flipping a coin once, there are 2 possible outcomes.

Step2: Analyze two - coin flips

For the first coin - flip, there are 2 outcomes (H or T). For each of these outcomes, the second coin - flip also has 2 outcomes. So the sample space is found by considering all possible pairs of outcomes. Starting with the first flip being heads, the second flip can be heads or tails (HH or HT). Starting with the first flip being tails, the second flip can be heads or tails (TH or TT). The correct tree - diagram should start with two branches for the first flip (one for H and one for T), and from each of those branches, there should be two more branches for the second flip. The first tree - diagram is correct as it starts with an H and a T for the first flip, and from each of those, it has an H and a T for the second flip.

Answer:

The first tree - diagram (the one that starts with H and T for the first flip and then has H and T branches from each of those for the second flip).