Question

Let A and B be two independent events such that P(A) = p₁ and P(B) = p₂. Describe in words the events whose probabilities are: p₁ p₂ .

Answer 1

\[\text { As, } p_1 p_2 = P\left( A \right) \times P\left( B \right)\]
\[\text{ And, A and B are independent events } . \]
\[\text { i . e }. P\left( A \right) \times P\left( B \right) = P\left( A \cap B \right)\]
\[\text { So }, P\left( A \cap B \right) = p_1 p_2 \]
\[\text{ Hence } , p_1 p_2 = P\left( \text{ A and B occur } \right)\]