Question

2 a coin is tossed twice. 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. = \frac{1}{4} 5 nailed it! 2d use the tree diagram to find the probability of getting no heads. = enter your next step here

Explanation:

Step1: Identify possible outcomes

When a coin is tossed twice, the sample space (all possible outcomes) using a tree diagram is: First toss: Head (H) or Tail (T); Second toss: for each first toss result, again H or T. So the outcomes are HH, HT, TH, TT. Total of 4 outcomes.

Step2: Identify favorable outcomes for no heads

"Getting no heads" means both tosses are tails, so the outcome is TT. There's 1 favorable outcome.

Step3: Calculate probability

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

Answer:

$\frac{1}{4}$