Question

Which formula gives the Multiplication Theorem for two events when \[P(F) \ne 0\]?

Options

• \[P(E \cap F)=P(F)\cdot P(E\mid F)\]

• \[P(E \cap F)=P(F)\cdot P(F\mid E)\]

• \[P(E \cap F)=P(E\mid F)\div P(F)\]

• \[P(E \cap F)=P(E)+P(F)\]

Answer 1

For two events, \[P(E \cap F)=P(F)\cdot P(E\mid F)\] is valid when \[P(F)\ne0\]. It first considers event \[F\], then the conditional probability of \[E\] given \[F\].