Question

Let E₁ and E₂ be two independent events such that P(E₁) = P₁ and P(E₂) = P₂. Describe in words of the events whose probabilities are: (1 – P₁) P₂ 

Answer 1

Here, P(E₁) = P₁ and P(E₂) = P₂

(1 – P₁).P₂ = P(E₁)'.P(E₂)

= P(E'₁ ∩ E₂)

So, E₁ does not occur but E₂ occurs.