Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is prime". Let B be the event "the outcome is a divisor of 3". Are A and B independent events? Outcome Probability 1 0.36 2 0.09 3 0.24 4 0.05 5 0.03 6 0.19 7 0.04 no yes

Answer 1

Let A be the event {the outcome is prime} and let B be the event {the outcome is a divisor of 3}. Then, we have the following sets: