Question

1. a coin is tossed twice.

2b use the tree diagram to find the probability of getting exactly 1 head.
= \frac{1}{2}

Explanation:

Step1: Identify possible outcomes

From the tree diagram, the possible outcomes of two coin tosses are: \( HH \), \( HT \), \( TH \), \( TT \). So there are \( n = 4 \) total outcomes.

Step2: Identify favorable outcomes

Outcomes with exactly 1 head are \( HT \) and \( TH \). So the number of favorable outcomes \( m = 2 \).

Step3: Calculate probability

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{m}{n}=\frac{2}{4}=\frac{1}{2} \).

Answer:

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