Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

A speaks truth in 80% of cases and B speaks truth in 60% of cases. The probability that they speak the same fact is

Options:

0.56

0.72

0.08

0.44

Correct Answer:

0.56

Explanation:

$\text{P (A truth) = 0.8, P (A lies) = 0.2}$

$\text{P (B truth) = 0.6, P (B lies) = 0.4}$

$\text{P (Same facts) = P (A truth) × P (B truth) + P (A lies) × P (B lies)}$

$=0.8×0.6+0.2×0.4$

$=0.56$