Answer: Given that the economy is good, the chance of a poor economy and a bull market is 0.15.

## Explanation Let's analyze each statement using the given probability distribution: **Given Data:** - P(Good economy) = 0.60 - P(Poor economy) = 0.40 - Conditional probabilities: - P(Bull market | Good economy) = 0.50 - P(Normal market | Good economy) = 0.30 - P(Bear market | Good economy) = 0.20 - P(Bull market | Poor economy) = 0.20 - P(Normal market | Poor economy) = 0.30 - P(Bear market | Poor economy) = 0.50 **Statement A: The probability of a normal market is 0.30** \[P(Normal) = P(Normal | Good) \times P(Good) + P(Normal | Poor) \times P(Poor)\] \[P(Normal) = (0.30 \times 0.60) + (0.30 \times 0.40) = 0.18 + 0.12 = 0.30\] ✅ **Correct** **Statement B: The probability of having a good economy and a bear market is 0.12** \[P(Good \cap Bear) = P(Bear | Good) \times P(Good) = 0.20 \times 0.60 = 0.12\] ✅ **Correct** **Statement C: Given that the economy is good, the chance of a poor economy and a bull market is 0.15** This statement is problematic. "Given that the economy is good" means we're conditioning on the economy being good. However, "poor economy and bull market" is impossible when we know the economy is good. The probability of poor economy given good economy is 0. Therefore, this statement is **incorrect**. **Statement D: Given that the economy is poor, the combined probability of a normal or a bull market is 0.50** \[P(Normal \cup Bull | Poor) = P(Normal | Poor) + P(Bull | Poor) = 0.30 + 0.20 = 0.50\] ✅ **Correct** Therefore, statement C is the least likely accurate because it describes an impossible scenario - having a poor economy when we already know the economy is good.

Author: LeetQuiz .