Question

1. a coin is tossed twice.

2a construct a tree diagram showing the results of the given experiment.
2b use the tree diagram to find the probability of getting exactly 1 head.
= enter your next step here

Explanation:

Step1: Identify possible outcomes

From the tree diagram, the possible outcomes of tossing a coin twice are: HH, HT, TH, TT. So there are 4 total outcomes.

Step2: Identify favorable outcomes

We need exactly 1 Head. The favorable outcomes are HT and TH. So there are 2 favorable outcomes.

Step3: Calculate probability

Probability is the number of favorable outcomes divided by the number of total outcomes. So probability \( P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{4} = \frac{1}{2} \).

Answer:

\(\frac{1}{2}\)