\( 10 \quad 0.5 \) points
If three coins are tossed at the same time, use a tree diagram to find the probability that at least two of the coins will land tails up.
State your answer as a fraction.
type your answer..
3. Calculate probability: \( \frac{\text{Outcomes with 2 or more tails}}{\text{Total outcomes}} = \frac{4}{8} = \frac{3}{8} \)
Step 1 :1. Enumerate possible outcomes of 3 coin tosses: {TTT, TTH, THT, THH, HTT, HTH, HHT, HHH}
Step 2 :2. Count outcomes with at least 2 tails: {TTT, TTH, THT, HTT}
Step 3 :3. Calculate probability: \( \frac{\text{Outcomes with 2 or more tails}}{\text{Total outcomes}} = \frac{4}{8} = \frac{3}{8} \)