P(E₁) = P(4 or 5) = 2/6 = 1/3

P(E₂) = P(1, 2 or 3) = 3/6 = 1/2

They are independent events, so

P(E₁ and E₂) = P(E₁) × P(E₂) = 1/3 × 1/2 = 1/6