The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?

A. 18/35
B. 12/35
C. 17/35
D. 19/35

Explanation:

If both agree stating the same fact, either both of them speak truth of both speak false.

Probability = 3/5 * 4/7 + 2/5 * 3/7
= 12/35 + 6/35 = 18/35