Explain, in not more than two sentences, why the expression for simplifies to if and…

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

Explain, in not more than two sentences, why the expression for P(E1∩E2∩E3)P(E_1\cap E_2\cap E_3) simplifies to P(E1) P(E2∣E1) P(E3∣E1)P(E_1)\,P(E_2\mid E_1)\,P(E_3\mid E_1) if E2E_2 and E3E_3 are independent given E1E_1.

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