The probability that `A` speaks truth is `(4)/(5)`, while this probability for `B` is `(3)/(4)`. The probability that they contradict each other when asked to speak on a fact is ____

Explanation

To solve the problem, we need to find the probability that A and B contradict each other when asked to speak on a fact. We can break down the solution step by step.

### Step 1: Define the probabilities
Let:
- \( P(A) \) = Probability that A speaks the truth = \( \frac{4}{5} \)
- \( P(B) \) = Probability that B speaks the truth = \( \frac{3}{4} \)

### Step 2: Find the probabilities of them lying
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