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Answer: 0.7
**Explanation:** Let A = {gets first question right} and B = {gets second question right} Given: - 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 values: P(A ∪ B) = 0.4 + 0.5 - 0.2 = 0.7 **Key Concepts:** - The addition rule accounts for the overlap between events to avoid double-counting - P(A ∪ B) represents the probability of at least one of the events occurring - This is a fundamental concept in probability theory and quantitative analysis
Author: Nikitesh Somanthe
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A financial risk manager exam candidate is asked two questions. The probability that she gets the first question correct is 0.4 and the probability that she gets the second question correct is 0.5. Given that the probability that she gets both questions correct is 0.2, determine the probability that she gets either the first or the second question correct.
A
0.9
B
0.7
C
0.1
D
0.4
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