Question

Which is the equivalent and most commonly used test for independent events E and F?

Options

• \[P(E\mid F)=P(F)\]

• \[P(E\cap F)=P(E)+P(F)\]

• \[P(E\cup F)=P(E)\cdot P(F)\]

• \[P(E\cap F)=P(E)\cdot P(F)\]

Answer 1

The standard test for independent events is \[P(E\cap F)=P(E)P(F)\]. It compares the probability of both events occurring with the product of their individual probabilities.