Question

1. a coin is tossed twice.

2b use the tree diagram to find the probability of getting exactly 1 head.
= enter your next step here

Explanation:

Step1: Identify possible outcomes

When a coin is tossed twice, the possible outcomes from the tree diagram are: (H, H), (H, T), (T, H), (T, T). So there are 4 total outcomes.

Step2: Identify favorable outcomes

We need exactly 1 Head. The favorable outcomes are (H, T) and (T, H), so there are 2 favorable outcomes.

Step3: Calculate probability

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

Answer:

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