Question

A man is known to speak the truth 3 out of 5 times. He throws a die and reports that it is 1. Find the probability that it is actually 1.

Answer 1

E₁ = Event that 1 occur;

E₂ = Event that 1 does not occur;

A = Event that the man reports that 1 occur.

P(E₁) = 1/6; P(E₂) = 5/6;