A speaks truth in 80% of cases and B speaks truth in 60% of cases. The probability that they speak the same fact is |
0.56 0.72 0.08 0.44 |
0.56 |
$\text{P (A truth) = 0.8, P (A lies) = 0.2}$ $\text{P (B truth) = 0.6, P (B lies) = 0.4}$ $\text{P (Same facts) = P (A truth) × P (B truth) + P (A lies) × P (B lies)}$ $=0.8×0.6+0.2×0.4$ $=0.56$ |