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: P₁P₂ 

Answer 1

Here, P(E₁) = P₁ and P(E₂) = P₂ 

P₁P₂ = P(E₁) . P(E₂)

= P(E₁ ∩ E₂)

So, E₁ and E₂ occur.