Explanation

Given:

• P(A) = P(B) (equal probabilities)
• P(A∩B) = 4%
• P(B|A) = 80%

Step 1: Find P(A) and P(B) Using the conditional probability formula: P(B|A) = P(A∩B) / P(A) 80% = 4% / P(A) P(A) = 4% / 80% = 5%

Since P(A) = P(B), then P(B) = 5%

Step 2: Find P(A∪B) Using the addition rule: P(A∪B) = P(A) + P(B) - P(A∩B) P(A∪B) = 5% + 5% - 4% = 6%

Step 3: Find P(neither occurs) P(neither) = 1 - P(A∪B) = 1 - 6% = 94%

Therefore, the probability that neither event occurs is 94%.