Two events and are selected from a sample space.

MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

Two events

A

and

B

are selected from a sample space. (i) Define what is meant by the events

A

and

B

being independent. (ii) State the mathematical relation that connects

P(A)

P(B)

and

P(A \cap B)

when

A

and

B

are independent. (iii) Write any two everyday situations that can reasonably be modelled by independent events.