A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident
Choose the correct choice from the following options
A) 30%	B) 35%	C) 40%	D) 45%	E) None of these
Explanation:   Let A = Event that A speaks the truth   35% = Event that 35% speaks the truth   Then P(A) = 75/100 = 3/4   P(35%) = 80/100 = 4/5   P(A-lie) = 1-3/4 = 1/4   P(35%-lie) = 1-4/5 = 1/5   Now   A and 35% contradict each other =   [A lies and 35% true] or [35% true and 35% lies]   = P(A).P(35%-lie) + P(A-lie).P(35%)   [Please note that we are adding at the place of OR]   = (3/5*1/5) + (1/4*4/5) = 7/20   = (7/20 * 100)= 
<gadget id="calculator">(7/20 * 100)</gadget>
<output>35</output>
35%   Option 35%
<result>B</result>
A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident