Atal speaks the truth in 70% of the cases and George speaks the truth in 60% cases. In what percentage of cases are they likely to contradict each other in stating the same fact?

46% Explanation: Solution Step 1: Identify individual probabilities Let be the event that Atal speaks the truth and be the event that George speaks the truth. Step 2: Find the probabilities of lying Step 3: Define "Contradiction" They contradict each other in two cases: Atal speaks the truth AND George lies. Atal lies AND George speaks the truth. Step 4: Calculate the total probability Step 5: Convert to percentage Final Answer: The likely percentage of contradiction is 46% .

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