Question

Two events E and F are independent when which conditional probability condition holds, provided \[P(F) \ne 0\]?

विकल्प

• \[P(E\mid F)=P(E)\]

• \[P(F\mid E)=P(E)\]

• \[P(E\cap F)=P(E)-P(F)\]

• \[P(E\mid F)=P(F)\]

Answer 1

When \[P(F) \ne 0\], E and F are independent if \[P(E\mid F)=P(E)\]. The occurrence of F does not change the probability of E.