Answer: 0.7

## Explanation Let's define the events: - Let A = {gets first question right} - Let B = {gets second question right} Given probabilities: - P(A) = 0.4 - P(B) = 0.5 - P(A ∩ B) = 0.2 (probability of getting both questions correct) We want to find P(A ∪ B) - the probability that she gets either the first OR the second question correct. Using the addition rule of probability: ``` P(A ∪ B) = P(A) + P(B) - P(A ∩ B) ``` Substituting the given values: ``` P(A ∪ B) = 0.4 + 0.5 - 0.2 = 0.7 ``` Therefore, the probability that she gets either the first or the second question correct is **0.7**. **Why this makes sense:** - If we simply added P(A) + P(B) = 0.4 + 0.5 = 0.9, we would be double-counting the cases where both questions are correct - By subtracting P(A ∩ B) = 0.2, we remove this double-counting - The result 0.7 represents the probability of getting at least one question correct

Author: Tanishq Prabhu