The problem asks us to identify the tree diagram that correctly represents all possible outcomes of tossing a coin twice. A coin has two sides: Heads (H) and Tails (T).

1. Problem Description

The problem asks us to identify the tree diagram that correctly represents all possible outcomes of tossing a coin twice. A coin has two sides: Heads (H) and Tails (T).

2. Solution Steps

When tossing a coin twice, the possible outcomes for the first toss are Heads (H) or Tails (T). For each of these outcomes, the second toss can also be either Heads (H) or Tails (T). Therefore, the possible outcomes are:

- Heads on the first toss, Heads on the second toss (HH)

- Heads on the first toss, Tails on the second toss (HT)

- Tails on the first toss, Heads on the second toss (TH)

- Tails on the first toss, Tails on the second toss (TT)

Now, let's analyze the given options:

A: Starts with Tails, then shows Heads and Tails. Also starts with Heads, then shows Heads and Tails. The outcomes are TH, TT, HH, HT. This one is correct.

B: Starts with Heads, then shows Heads and Heads, also Tails and Tails, which is wrong.

C: Starts with Heads, then shows Heads and Tails. But Starts with Heads and Tails also results in Heads and Tails, which is wrong.

D: Starts with Heads, then shows Heads and Tails. However Starts with Heads and Tails also results in Heads and Tails, which is wrong.

So, the tree diagram representing all possible outcomes should branch out from the first toss (H or T) and then branch out again from each of those outcomes for the second toss (H or T).

3. Final Answer

A