Question

2c use the tree diagram to find the probability of getting 2 heads. = \frac{1}{4} 5 nice work! 2d use the tree diagram to find the probability of getting no heads. = enter your next step here

Explanation:

Step1: Identify the experiment (coin toss)

Assuming we are tossing a fair coin twice (since 2c was about 2 heads, implying 2 tosses). For a fair coin, \( P(\text{Head}) = P(\text{Tail}) = \frac{1}{2} \).

Step2: Determine the path for no heads

"No heads" means both tosses are tails. Using the tree diagram, the probability of tail on first toss is \( \frac{1}{2} \), and tail on second toss (given first was tail) is also \( \frac{1}{2} \).

Step3: Multiply the probabilities

For independent events, \( P(\text{No heads}) = P(\text{Tail}) \times P(\text{Tail}) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \).

Answer:

\(\frac{1}{4}\)