Question

2d use the tree diagram to find the probability of getting no heads. = \frac{1}{4} 5 well done! 2e use the tree diagram to find the probability of getting 1 head and 1 tail. = enter your next step here

Explanation:

Step1: Identify possible sequences

For two coin tosses (implied by tree diagram, likely), the sequences with 1 Head (H) and 1 Tail (T) are HT and TH.

Step2: Probability of each sequence

Assuming fair coin, \( P(H) = \frac{1}{2} \), \( P(T) = \frac{1}{2} \).
For HT: \( P(HT) = P(H) \times P(T) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \).
For TH: \( P(TH) = P(T) \times P(H) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \).

Step3: Sum probabilities

\( P(1\ H\ and\ 1\ T) = P(HT) + P(TH) = \frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2} \).

Answer:

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