Probability that ‘A’ speaks truth is 35% and ‘B’ lies is 40%. What is the probability that they contradict each other for a same statement?Question 7Answera.53%b.None of thesec.45%d.50%

The probability that 'A' speaks the truth is 35% or 0.35 and the probability that 'A' lies is therefore 65% or 0.65 (since the total probability must add up to 1).

Similarly, the probability that 'B' lies is 40% or 0.40 and the probability that 'B' speaks the truth is 60% or 0.60.

They will contradict each other if one of them is telling the truth and the other is lying. There are two possibilities for this:

1. 'A' speaks the truth and 'B' lies.
2. 'A' lies and 'B' speaks the truth.

We can calculate the probability for these two scenarios and add them together to get the total probability that they contradict each other.

1. The probability that 'A' speaks the truth and 'B' lies is (0.35 * 0.40) = 0.14 or 14%.

2. The probability that 'A' lies and 'B' speaks the truth is (0.65 * 0.60) = 0.39 or 39%.

Adding these two probabilities together, the total probability that 'A' and 'B' contradict each other is 14% + 39% = 53%.

So, the answer is a. 53%.