Question

1. a coin is tossed twice. 2a construct a tree diagram showing the results of the given experiment.

Explanation:

Step1: First Toss

The first toss of the coin has two possible outcomes: Heads (H) or Tails (T).

Step2: Second Toss (from H)

If the first toss is H, the second toss can be H or T.

Step3: Second Toss (from T)

If the first toss is T, the second toss can be H or T.

To construct the tree diagram:

• Start with a root node.
• From the root, draw two branches: one labeled H (for the first toss resulting in Heads) and one labeled T (for the first toss resulting in Tails).
• From the H node (first toss H), draw two more branches: one labeled H (second toss H) and one labeled T (second toss T).
• From the T node (first toss T), draw two more branches: one labeled H (second toss H) and one labeled T (second toss T).

The tree diagram will have the following paths (outcomes): HH, HT, TH, TT.

Answer:

The tree diagram starts with the first toss (H or T). From each first - toss outcome, there are two second - toss outcomes (H or T). The outcomes are HH, HT, TH, TT. (A visual tree diagram would have a root, two first - level branches (H, T), and two second - level branches (H, T) from each first - level branch.)