Question

2b use the tree diagram to find the probability of getting exactly 1 head. = \frac{1}{2} 5 great job! 2c use the tree diagram to find the probability of getting 2 heads. = enter your next step here

Explanation:

Step1: Assume coin toss (2 tosses)

For a fair coin, probability of head (H) or tail (T) is $\frac{1}{2}$ each. Tree diagram for 2 tosses: first toss H/T, second toss H/T.

Step2: Path for 2 heads

Only one path: H then H. Probability of H first: $\frac{1}{2}$, H second: $\frac{1}{2}$. Multiply: $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$.

Answer:

$\frac{1}{4}$