Question

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

Options

• \[P(F\mid E)=P(E)\]

• \[P(F\mid E)=P(F)\]

• \[P(E\cap F)=P(E)+P(F)\]

• \[P(E\mid F)=P(F)\]

Answer 1

When \[P(E) \ne 0\], E and F are independent if \[P(F\mid E)=P(F)\]. The probability of F remains unchanged after E occurs.