Final answer:
Lawyer A and B will likely contradict each other in 45% of cases when narrating the same incident. This is found by adding the probabilities of one telling the truth while the other lies for both scenarios.
The answer is C. 45%.
Step-by-step explanation:
To calculate the percentage of cases in which lawyers A and B are likely to contradict each other while narrating the same incident, we need to consider when one tells the truth while the other lies. Lawyer A speaks the truth in 60% of cases, which means they lie in 40% of the cases. Lawyer B speaks the truth in 75% of cases, which implies they lie in 25% of the cases. The scenarios where they contradict each other are when A speaks the truth and B lies (60% * 25%) or when A lies and B speaks the truth (40% * 75%).
The percentage of cases where they contradict each other is calculated as follows:
- Probability(A truth and B lie) = 60% × 25% = 15%
- Probability(A lie and B truth) = 40% × 75% = 30%
Adding these two probabilities gives us the overall percentage of contradiction:
Probability of contradiction = Probability(A truth and B lie) + Probability(A lie and B truth)
Probability of contradiction = 15% + 30% = 45%
The answer is C. 45%.