A speaks truth in 80% of cases and B speaks truth in 60% of cases. The probability that they speak the same fact is
Answer & explanation
Correct answer: option 1
$\text{P (A truth) = 0.8, P (A lies) = 0.2}$
$\text{P (B truth) = 0.6, P (B lies) = 0.4}$
$\text{P (Same facts) = P (A truth) × P (B truth) + P (A lies) × P (B lies)}$
$=0.8×0.6+0.2×0.4$
$=0.56$